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Simplifying 15 = 2w + 7(w + 6) Reorder the terms: 15 = 2w + 7(6 + w) 15 = 2w + (6 * 7 + w * 7) 15 = 2w + (42 + 7w) Reorder the terms: 15 = 42 + 2w + 7w Combine like terms: 2w + 7w = 9w 15 = 42 + 9w Solving 15 = 42 + 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 = 42 + 9w + -9w Combine like terms: 9w + -9w = 0 15 + -9w = 42 + 0 15 + -9w = 42 Add '-15' to each side of the equation. 15 + -15 + -9w = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -9w = 42 + -15 -9w = 42 + -15 Combine like terms: 42 + -15 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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