3(2w - 9) = 14 + 2w - 5

Explanation:

Step1: Expand the left - hand side

$3(2w - 9)=6w-27$. The right - hand side simplifies to $14 + 2w-5=9 + 2w$. So the equation becomes $6w-27=9 + 2w$.

Step2: Move the terms with $w$ to one side

Subtract $2w$ from both sides: $6w-2w-27=9 + 2w-2w$, which simplifies to $4w-27=9$.

Step3: Isolate the term with $w$

Add 27 to both sides: $4w-27 + 27=9 + 27$, resulting in $4w=36$.

Step4: Solve for $w$

Divide both sides by 4: $\frac{4w}{4}=\frac{36}{4}$, so $w = 9$.

Answer:

$w = 9$