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Simplifying 6(w + 2) = 9w + -9 Reorder the terms: 6(2 + w) = 9w + -9 (2 * 6 + w * 6) = 9w + -9 (12 + 6w) = 9w + -9 Reorder the terms: 12 + 6w = -9 + 9w Solving 12 + 6w = -9 + 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. 12 + 6w + -9w = -9 + 9w + -9w Combine like terms: 6w + -9w = -3w 12 + -3w = -9 + 9w + -9w Combine like terms: 9w + -9w = 0 12 + -3w = -9 + 0 12 + -3w = -9 Add '-12' to each side of the equation. 12 + -12 + -3w = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = -9 + -12 -3w = -9 + -12 Combine like terms: -9 + -12 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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