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Simplifying -39 = 2(w + 3) + 3w Reorder the terms: -39 = 2(3 + w) + 3w -39 = (3 * 2 + w * 2) + 3w -39 = (6 + 2w) + 3w Combine like terms: 2w + 3w = 5w -39 = 6 + 5w Solving -39 = 6 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -39 + -5w = 6 + 5w + -5w Combine like terms: 5w + -5w = 0 -39 + -5w = 6 + 0 -39 + -5w = 6 Add '39' to each side of the equation. -39 + 39 + -5w = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -5w = 6 + 39 -5w = 6 + 39 Combine like terms: 6 + 39 = 45 -5w = 45 Divide each side by '-5'. w = -9 Simplifying w = -9
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