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Simplifying 9w + 15 = 7(w + 1) Reorder the terms: 15 + 9w = 7(w + 1) Reorder the terms: 15 + 9w = 7(1 + w) 15 + 9w = (1 * 7 + w * 7) 15 + 9w = (7 + 7w) Solving 15 + 9w = 7 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 15 + 9w + -7w = 7 + 7w + -7w Combine like terms: 9w + -7w = 2w 15 + 2w = 7 + 7w + -7w Combine like terms: 7w + -7w = 0 15 + 2w = 7 + 0 15 + 2w = 7 Add '-15' to each side of the equation. 15 + -15 + 2w = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 7 + -15 2w = 7 + -15 Combine like terms: 7 + -15 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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