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Simplifying -3w + 27 = 9(w + -9) Reorder the terms: 27 + -3w = 9(w + -9) Reorder the terms: 27 + -3w = 9(-9 + w) 27 + -3w = (-9 * 9 + w * 9) 27 + -3w = (-81 + 9w) Solving 27 + -3w = -81 + 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. 27 + -3w + -9w = -81 + 9w + -9w Combine like terms: -3w + -9w = -12w 27 + -12w = -81 + 9w + -9w Combine like terms: 9w + -9w = 0 27 + -12w = -81 + 0 27 + -12w = -81 Add '-27' to each side of the equation. 27 + -27 + -12w = -81 + -27 Combine like terms: 27 + -27 = 0 0 + -12w = -81 + -27 -12w = -81 + -27 Combine like terms: -81 + -27 = -108 -12w = -108 Divide each side by '-12'. w = 9 Simplifying w = 9
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