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Simplifying -2(5w + -5) + 6w = 5(w + 5) Reorder the terms: -2(-5 + 5w) + 6w = 5(w + 5) (-5 * -2 + 5w * -2) + 6w = 5(w + 5) (10 + -10w) + 6w = 5(w + 5) Combine like terms: -10w + 6w = -4w 10 + -4w = 5(w + 5) Reorder the terms: 10 + -4w = 5(5 + w) 10 + -4w = (5 * 5 + w * 5) 10 + -4w = (25 + 5w) Solving 10 + -4w = 25 + 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. 10 + -4w + -5w = 25 + 5w + -5w Combine like terms: -4w + -5w = -9w 10 + -9w = 25 + 5w + -5w Combine like terms: 5w + -5w = 0 10 + -9w = 25 + 0 10 + -9w = 25 Add '-10' to each side of the equation. 10 + -10 + -9w = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -9w = 25 + -10 -9w = 25 + -10 Combine like terms: 25 + -10 = 15 -9w = 15 Divide each side by '-9'. w = -1.666666667 Simplifying w = -1.666666667
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