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Simplifying 2(w + -2) = -3w + -39 Reorder the terms: 2(-2 + w) = -3w + -39 (-2 * 2 + w * 2) = -3w + -39 (-4 + 2w) = -3w + -39 Reorder the terms: -4 + 2w = -39 + -3w Solving -4 + 2w = -39 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -4 + 2w + 3w = -39 + -3w + 3w Combine like terms: 2w + 3w = 5w -4 + 5w = -39 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 5w = -39 + 0 -4 + 5w = -39 Add '4' to each side of the equation. -4 + 4 + 5w = -39 + 4 Combine like terms: -4 + 4 = 0 0 + 5w = -39 + 4 5w = -39 + 4 Combine like terms: -39 + 4 = -35 5w = -35 Divide each side by '5'. w = -7 Simplifying w = -7
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