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Simplifying 3 + 6 = 9(w + 2) Combine like terms: 3 + 6 = 9 9 = 9(w + 2) Reorder the terms: 9 = 9(2 + w) 9 = (2 * 9 + w * 9) 9 = (18 + 9w) Solving 9 = 18 + 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. 9 + -9w = 18 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -9w = 18 + 0 9 + -9w = 18 Add '-9' to each side of the equation. 9 + -9 + -9w = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -9w = 18 + -9 -9w = 18 + -9 Combine like terms: 18 + -9 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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