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Simplifying -5(w + -3) = 4w + -39 Reorder the terms: -5(-3 + w) = 4w + -39 (-3 * -5 + w * -5) = 4w + -39 (15 + -5w) = 4w + -39 Reorder the terms: 15 + -5w = -39 + 4w Solving 15 + -5w = -39 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 15 + -5w + -4w = -39 + 4w + -4w Combine like terms: -5w + -4w = -9w 15 + -9w = -39 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -9w = -39 + 0 15 + -9w = -39 Add '-15' to each side of the equation. 15 + -15 + -9w = -39 + -15 Combine like terms: 15 + -15 = 0 0 + -9w = -39 + -15 -9w = -39 + -15 Combine like terms: -39 + -15 = -54 -9w = -54 Divide each side by '-9'. w = 6 Simplifying w = 6
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