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Simplifying -6(w + -6) = 9w + -9 Reorder the terms: -6(-6 + w) = 9w + -9 (-6 * -6 + w * -6) = 9w + -9 (36 + -6w) = 9w + -9 Reorder the terms: 36 + -6w = -9 + 9w Solving 36 + -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. 36 + -6w + -9w = -9 + 9w + -9w Combine like terms: -6w + -9w = -15w 36 + -15w = -9 + 9w + -9w Combine like terms: 9w + -9w = 0 36 + -15w = -9 + 0 36 + -15w = -9 Add '-36' to each side of the equation. 36 + -36 + -15w = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -15w = -9 + -36 -15w = -9 + -36 Combine like terms: -9 + -36 = -45 -15w = -45 Divide each side by '-15'. w = 3 Simplifying w = 3
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