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Simplifying -4(w + -8) + -1(1 + 7w) = -12w Reorder the terms: -4(-8 + w) + -1(1 + 7w) = -12w (-8 * -4 + w * -4) + -1(1 + 7w) = -12w (32 + -4w) + -1(1 + 7w) = -12w 32 + -4w + (1 * -1 + 7w * -1) = -12w 32 + -4w + (-1 + -7w) = -12w Reorder the terms: 32 + -1 + -4w + -7w = -12w Combine like terms: 32 + -1 = 31 31 + -4w + -7w = -12w Combine like terms: -4w + -7w = -11w 31 + -11w = -12w Solving 31 + -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. 31 + -11w + 12w = -12w + 12w Combine like terms: -11w + 12w = 1w 31 + 1w = -12w + 12w Combine like terms: -12w + 12w = 0 31 + 1w = 0 Add '-31' to each side of the equation. 31 + -31 + 1w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1w = 0 + -31 1w = 0 + -31 Combine like terms: 0 + -31 = -31 1w = -31 Divide each side by '1'. w = -31 Simplifying w = -31
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