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Simplifying 3(3w + 5) = 3w + -9 Reorder the terms: 3(5 + 3w) = 3w + -9 (5 * 3 + 3w * 3) = 3w + -9 (15 + 9w) = 3w + -9 Reorder the terms: 15 + 9w = -9 + 3w Solving 15 + 9w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 15 + 9w + -3w = -9 + 3w + -3w Combine like terms: 9w + -3w = 6w 15 + 6w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 6w = -9 + 0 15 + 6w = -9 Add '-15' to each side of the equation. 15 + -15 + 6w = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = -9 + -15 6w = -9 + -15 Combine like terms: -9 + -15 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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