Outline a synthesis of each of the following compounds from mesityl oxide (4-methyl-3-penten-2-one). Use an organometallic reagent in at least one step of each synthesis.

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i (CH3)3CCH₂-C-CH3 (b) OH I (CH3)2C=CH-C(CH3)2 (c) CH3CH₂ CH 3 I C C—CH=C(CH3)2 T CH3