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Simplifying 5(w + -1) + -1(8w + -5) = -4w Reorder the terms: 5(-1 + w) + -1(8w + -5) = -4w (-1 * 5 + w * 5) + -1(8w + -5) = -4w (-5 + 5w) + -1(8w + -5) = -4w Reorder the terms: -5 + 5w + -1(-5 + 8w) = -4w -5 + 5w + (-5 * -1 + 8w * -1) = -4w -5 + 5w + (5 + -8w) = -4w Reorder the terms: -5 + 5 + 5w + -8w = -4w Combine like terms: -5 + 5 = 0 0 + 5w + -8w = -4w 5w + -8w = -4w Combine like terms: 5w + -8w = -3w -3w = -4w Solving -3w = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 1w = -4w + 4w Combine like terms: -4w + 4w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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