Solve for \( w \) \[ -12=8 w+5(w+8) \]

To solve for \( w \), let's first simplify the equation step by step. Starting with: \[ -12 = 8w + 5(w + 8) \] Distributing the \( 5 \) inside the parentheses: \[ -12 = 8w + 5w + 40 \] Now combine like terms on the right side: \[ -12 = (8w + 5w) + 40 \] \[ -12 = 13w + 40 \] Next, we'll isolate \( w \) by first moving the \( 40 \) to the left side: \[ -12 - 40 = 13w \] \[ -52 = 13w \] Now, divide both sides by \( 13 \): \[ w = \frac{-52}{13} \] \[ w = -4 \] So the solution is: \[ w = -4 \]