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Simplifying 4(w + -5) + -1(2 + 8w) = -5w Reorder the terms: 4(-5 + w) + -1(2 + 8w) = -5w (-5 * 4 + w * 4) + -1(2 + 8w) = -5w (-20 + 4w) + -1(2 + 8w) = -5w -20 + 4w + (2 * -1 + 8w * -1) = -5w -20 + 4w + (-2 + -8w) = -5w Reorder the terms: -20 + -2 + 4w + -8w = -5w Combine like terms: -20 + -2 = -22 -22 + 4w + -8w = -5w Combine like terms: 4w + -8w = -4w -22 + -4w = -5w Solving -22 + -4w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -22 + -4w + 5w = -5w + 5w Combine like terms: -4w + 5w = 1w -22 + 1w = -5w + 5w Combine like terms: -5w + 5w = 0 -22 + 1w = 0 Add '22' to each side of the equation. -22 + 22 + 1w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1w = 0 + 22 1w = 0 + 22 Combine like terms: 0 + 22 = 22 1w = 22 Divide each side by '1'. w = 22 Simplifying w = 22
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