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Simplifying -3(w + 3) + -1(8w + -8) = -12w Reorder the terms: -3(3 + w) + -1(8w + -8) = -12w (3 * -3 + w * -3) + -1(8w + -8) = -12w (-9 + -3w) + -1(8w + -8) = -12w Reorder the terms: -9 + -3w + -1(-8 + 8w) = -12w -9 + -3w + (-8 * -1 + 8w * -1) = -12w -9 + -3w + (8 + -8w) = -12w Reorder the terms: -9 + 8 + -3w + -8w = -12w Combine like terms: -9 + 8 = -1 -1 + -3w + -8w = -12w Combine like terms: -3w + -8w = -11w -1 + -11w = -12w Solving -1 + -11w = -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. -1 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w -1 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 -1 + 1w = 0 Add '1' to each side of the equation. -1 + 1 + 1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 0 + 1 1w = 0 + 1 Combine like terms: 0 + 1 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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