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Simplifying 4(w + -1) + -1(5w + -8) = 2w Reorder the terms: 4(-1 + w) + -1(5w + -8) = 2w (-1 * 4 + w * 4) + -1(5w + -8) = 2w (-4 + 4w) + -1(5w + -8) = 2w Reorder the terms: -4 + 4w + -1(-8 + 5w) = 2w -4 + 4w + (-8 * -1 + 5w * -1) = 2w -4 + 4w + (8 + -5w) = 2w Reorder the terms: -4 + 8 + 4w + -5w = 2w Combine like terms: -4 + 8 = 4 4 + 4w + -5w = 2w Combine like terms: 4w + -5w = -1w 4 + -1w = 2w Solving 4 + -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. 4 + -1w + -2w = 2w + -2w Combine like terms: -1w + -2w = -3w 4 + -3w = 2w + -2w Combine like terms: 2w + -2w = 0 4 + -3w = 0 Add '-4' to each side of the equation. 4 + -4 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333
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