11. 6(m - 1) = 3(3m + 5)

Explanation:

Step1: Expand both sides

$6(m - 1)=6m-6$ and $3(3m + 5)=9m + 15$, so the equation becomes $6m-6=9m + 15$.

Step2: Move like - terms together

Subtract $6m$ from both sides: $6m-6m-6=9m-6m + 15$, which simplifies to $-6 = 3m+15$. Then subtract 15 from both sides: $-6-15=3m+15 - 15$, getting $-21 = 3m$.

Step3: Solve for m

Divide both sides by 3: $\frac{-21}{3}=\frac{3m}{3}$, so $m=-7$.

Answer:

$m = - 7$