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Simplifying 5(w + -5) = -8w + 14 Reorder the terms: 5(-5 + w) = -8w + 14 (-5 * 5 + w * 5) = -8w + 14 (-25 + 5w) = -8w + 14 Reorder the terms: -25 + 5w = 14 + -8w Solving -25 + 5w = 14 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -25 + 5w + 8w = 14 + -8w + 8w Combine like terms: 5w + 8w = 13w -25 + 13w = 14 + -8w + 8w Combine like terms: -8w + 8w = 0 -25 + 13w = 14 + 0 -25 + 13w = 14 Add '25' to each side of the equation. -25 + 25 + 13w = 14 + 25 Combine like terms: -25 + 25 = 0 0 + 13w = 14 + 25 13w = 14 + 25 Combine like terms: 14 + 25 = 39 13w = 39 Divide each side by '13'. w = 3 Simplifying w = 3
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