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Simplifying 3(w + -9) = 8w + -12 Reorder the terms: 3(-9 + w) = 8w + -12 (-9 * 3 + w * 3) = 8w + -12 (-27 + 3w) = 8w + -12 Reorder the terms: -27 + 3w = -12 + 8w Solving -27 + 3w = -12 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -27 + 3w + -8w = -12 + 8w + -8w Combine like terms: 3w + -8w = -5w -27 + -5w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 -27 + -5w = -12 + 0 -27 + -5w = -12 Add '27' to each side of the equation. -27 + 27 + -5w = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -5w = -12 + 27 -5w = -12 + 27 Combine like terms: -12 + 27 = 15 -5w = 15 Divide each side by '-5'. w = -3 Simplifying w = -3
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