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Simplifying -9(w + 8) = 3w + -12 Reorder the terms: -9(8 + w) = 3w + -12 (8 * -9 + w * -9) = 3w + -12 (-72 + -9w) = 3w + -12 Reorder the terms: -72 + -9w = -12 + 3w Solving -72 + -9w = -12 + 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. -72 + -9w + -3w = -12 + 3w + -3w Combine like terms: -9w + -3w = -12w -72 + -12w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -72 + -12w = -12 + 0 -72 + -12w = -12 Add '72' to each side of the equation. -72 + 72 + -12w = -12 + 72 Combine like terms: -72 + 72 = 0 0 + -12w = -12 + 72 -12w = -12 + 72 Combine like terms: -12 + 72 = 60 -12w = 60 Divide each side by '-12'. w = -5 Simplifying w = -5
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