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Simplifying -4(w + -7) + -1(8 + 7w) = -12w Reorder the terms: -4(-7 + w) + -1(8 + 7w) = -12w (-7 * -4 + w * -4) + -1(8 + 7w) = -12w (28 + -4w) + -1(8 + 7w) = -12w 28 + -4w + (8 * -1 + 7w * -1) = -12w 28 + -4w + (-8 + -7w) = -12w Reorder the terms: 28 + -8 + -4w + -7w = -12w Combine like terms: 28 + -8 = 20 20 + -4w + -7w = -12w Combine like terms: -4w + -7w = -11w 20 + -11w = -12w Solving 20 + -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. 20 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w 20 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 20 + 1w = 0 Add '-20' to each side of the equation. 20 + -20 + 1w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1w = 0 + -20 1w = 0 + -20 Combine like terms: 0 + -20 = -20 1w = -20 Divide each side by '1'. w = -20 Simplifying w = -20
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