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Simplifying 9(w + 1) = 7w + -1 Reorder the terms: 9(1 + w) = 7w + -1 (1 * 9 + w * 9) = 7w + -1 (9 + 9w) = 7w + -1 Reorder the terms: 9 + 9w = -1 + 7w Solving 9 + 9w = -1 + 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. 9 + 9w + -7w = -1 + 7w + -7w Combine like terms: 9w + -7w = 2w 9 + 2w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + 2w = -1 + 0 9 + 2w = -1 Add '-9' to each side of the equation. 9 + -9 + 2w = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2w = -1 + -9 2w = -1 + -9 Combine like terms: -1 + -9 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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