Solve for \( w \) \[ 6=2(w+6)-8 w \] Simplify your answer as much as possible.

To solve for \( w \), we start with the equation: \[ 6 = 2(w + 6) - 8w \] First, distribute the \( 2 \) on the right-hand side: \[ 6 = 2w + 12 - 8w \] Next, combine the \( w \) terms on the right-hand side: \[ 6 = 2w - 8w + 12 \] This simplifies to: \[ 6 = -6w + 12 \] Now, we'll isolate the \( w \) term by subtracting \( 12 \) from both sides: \[ 6 - 12 = -6w \] This gives us: \[ -6 = -6w \] To solve for \( w \), divide both sides by \( -6 \): \[ w = 1 \] Thus, the solution is: \[ \boxed{1} \]