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Simplifying -4(-5w + 6) + -7w = 5(w + -5) + -9 Reorder the terms: -4(6 + -5w) + -7w = 5(w + -5) + -9 (6 * -4 + -5w * -4) + -7w = 5(w + -5) + -9 (-24 + 20w) + -7w = 5(w + -5) + -9 Combine like terms: 20w + -7w = 13w -24 + 13w = 5(w + -5) + -9 Reorder the terms: -24 + 13w = 5(-5 + w) + -9 -24 + 13w = (-5 * 5 + w * 5) + -9 -24 + 13w = (-25 + 5w) + -9 Reorder the terms: -24 + 13w = -25 + -9 + 5w Combine like terms: -25 + -9 = -34 -24 + 13w = -34 + 5w Solving -24 + 13w = -34 + 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. -24 + 13w + -5w = -34 + 5w + -5w Combine like terms: 13w + -5w = 8w -24 + 8w = -34 + 5w + -5w Combine like terms: 5w + -5w = 0 -24 + 8w = -34 + 0 -24 + 8w = -34 Add '24' to each side of the equation. -24 + 24 + 8w = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 8w = -34 + 24 8w = -34 + 24 Combine like terms: -34 + 24 = -10 8w = -10 Divide each side by '8'. w = -1.25 Simplifying w = -1.25
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