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