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Simplifying -8(w + -4) + -1(6 + 3w) = -12w Reorder the terms: -8(-4 + w) + -1(6 + 3w) = -12w (-4 * -8 + w * -8) + -1(6 + 3w) = -12w (32 + -8w) + -1(6 + 3w) = -12w 32 + -8w + (6 * -1 + 3w * -1) = -12w 32 + -8w + (-6 + -3w) = -12w Reorder the terms: 32 + -6 + -8w + -3w = -12w Combine like terms: 32 + -6 = 26 26 + -8w + -3w = -12w Combine like terms: -8w + -3w = -11w 26 + -11w = -12w Solving 26 + -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. 26 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w 26 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 26 + 1w = 0 Add '-26' to each side of the equation. 26 + -26 + 1w = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 1w = 0 + -26 1w = 0 + -26 Combine like terms: 0 + -26 = -26 1w = -26 Divide each side by '1'. w = -26 Simplifying w = -26
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