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Simplifying -15 = 6w + 3(w + 7) Reorder the terms: -15 = 6w + 3(7 + w) -15 = 6w + (7 * 3 + w * 3) -15 = 6w + (21 + 3w) Reorder the terms: -15 = 21 + 6w + 3w Combine like terms: 6w + 3w = 9w -15 = 21 + 9w Solving -15 = 21 + 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. -15 + -9w = 21 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -9w = 21 + 0 -15 + -9w = 21 Add '15' to each side of the equation. -15 + 15 + -9w = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -9w = 21 + 15 -9w = 21 + 15 Combine like terms: 21 + 15 = 36 -9w = 36 Divide each side by '-9'. w = -4 Simplifying w = -4
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