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Solve for \( w \) \[ -39=2(w+3)+3 w \] Simplify your answer as much as possible.

Ask by Joseph Sherman. in the United States
Feb 22,2025

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\( w = -9 \)

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To solve for \( w \) in the equation \[ -39 = 2(w + 3) + 3w, \] first, distribute the \( 2 \) on the right side: \[ -39 = 2w + 6 + 3w. \] Combine like terms: \[ -39 = 5w + 6. \] Next, isolate \( 5w \) by subtracting \( 6 \) from both sides: \[ -39 - 6 = 5w, \] \[ -45 = 5w. \] Now, divide both sides by \( 5 \): \[ w = \frac{-45}{5} = -9. \] Thus, the solution is \[ \boxed{-9}. \]

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