Disconnect the amide into 2-propylhexanoic acid and N-methyl-2-(4-hexylphenyl)ethylamine. This keeps the nitrogen substituents distinct: one is Me and the other is the two-carbon aryl side chain. The acid's alpha carbon must bear both n-butyl and n-propyl groups.
For the acid fragment, esterify the supplied hexanoic acid, form its ester enolate with LDA, and alkylate with 1-iodopropane:
hydrolysis gives 2-propylhexanoic acid; conversion with gives the acyl chloride for the final coupling. Limit the alkylating reagent and isolate the monoalkylated ester to avoid overalkylation.
For the aryl fragment, use another portion of hexanoic acid to make hexanoyl chloride. A Friedel-Crafts acylation of bromobenzene with this reagent and gives ortho and para products; isolate the para bromoaryl ketone. A Wolff-Kishner reduction converts into without deliberately hydrogenolyzing the aryl bromide. Acylation followed by carbonyl reduction installs an unrearranged n-hexyl group; direct Friedel–Crafts alkylation is a less reliable way to do that.
Convert the retained aryl bromide into its grignard reagent, open ethylene oxide, and work up to obtain . Oxidize the primary alcohol to under conditions that stop at the aldehyde, then perform reductive amination with methylamine and sodium triacetoxyborohydride. Excess methylamine helps favour the desired secondary amine over further alkylation. Finally acylate that secondary amine with the isolated acyl chloride, using a separate base to capture HCl.
The final amide has an N-methyl group, the para n-hexyl phenethyl group, and the required n-butyl/n-propyl acyl branching. The carbon check is in the acyl fragment plus in the amine fragment, giving overall. No absolute stereochemistry is specified at the acid alpha carbon.
Disconnect the internal Z alkene by a non-stabilized Wittig reaction:
The aldehyde carbon becomes the right-hand internal alkene carbon; the ylide carbon becomes the left-hand one. Both the methyl ester and the remote terminal alkene survive the olefination.
Make the aldehyde from pentanal by Stork enamine reaction: form its pyrrolidine enamine, react at carbon with allyl bromide, then hydrolyse to . The original alpha carbon of pentanal now bears allyl and n-propyl substituents. Control the alkylation to avoid multiple substitutions.
The other branch needs a three-carbon extension of the supplied four-carbon bromo alcohol. Protect the OH of as a tetrahydropyranyl ether. Convert the bromide into an organocuprate and add it conjugatively to methyl acrylate:
Here the organocopper formula is shorthand for a suitable cuprate preparation, not a claim that an isolated monomer is necessary. The acrylate contributes two methylenes and the ester carbonyl. Remove the THP group, replace the resulting terminal OH by Br, and react with to form . Deprotonate adjacent to phosphorus to generate the non-stabilized ylide. This proton is much more acidic than the ester alpha protons, but controlled base stoichiometry and low temperature remain important.
Add the allylated aldehyde under conditions favouring the usual kinetic Z-selective Wittig olefination, and separate any E isomer. The result is
The four-carbon starting alcohol plus the three-carbon acrylate backbone supplies the seven-carbon acid-derived chain; the ester Me gives an eighth carbon. Pentanal plus allyl gives the other eight. The total is sixteen carbons, including the terminal alkene. A two-carbon extension would produce the wrong chain length.

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