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Simplifying 4(w + -5) + -1(5w + -8) = -2w Reorder the terms: 4(-5 + w) + -1(5w + -8) = -2w (-5 * 4 + w * 4) + -1(5w + -8) = -2w (-20 + 4w) + -1(5w + -8) = -2w Reorder the terms: -20 + 4w + -1(-8 + 5w) = -2w -20 + 4w + (-8 * -1 + 5w * -1) = -2w -20 + 4w + (8 + -5w) = -2w Reorder the terms: -20 + 8 + 4w + -5w = -2w Combine like terms: -20 + 8 = -12 -12 + 4w + -5w = -2w Combine like terms: 4w + -5w = -1w -12 + -1w = -2w Solving -12 + -1w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -12 + -1w + 2w = -2w + 2w Combine like terms: -1w + 2w = 1w -12 + 1w = -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 1w = 0 Add '12' to each side of the equation. -12 + 12 + 1w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 0 + 12 1w = 0 + 12 Combine like terms: 0 + 12 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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