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Simplifying -3(w + 9) = 9w + -15 Reorder the terms: -3(9 + w) = 9w + -15 (9 * -3 + w * -3) = 9w + -15 (-27 + -3w) = 9w + -15 Reorder the terms: -27 + -3w = -15 + 9w Solving -27 + -3w = -15 + 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 = -15 + 9w + -9w Combine like terms: -3w + -9w = -12w -27 + -12w = -15 + 9w + -9w Combine like terms: 9w + -9w = 0 -27 + -12w = -15 + 0 -27 + -12w = -15 Add '27' to each side of the equation. -27 + 27 + -12w = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -12w = -15 + 27 -12w = -15 + 27 Combine like terms: -15 + 27 = 12 -12w = 12 Divide each side by '-12'. w = -1 Simplifying w = -1
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