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Simplifying -5(w + -4) + 5w = 10(w + 7) Reorder the terms: -5(-4 + w) + 5w = 10(w + 7) (-4 * -5 + w * -5) + 5w = 10(w + 7) (20 + -5w) + 5w = 10(w + 7) Combine like terms: -5w + 5w = 0 20 + 0 = 10(w + 7) 20 = 10(w + 7) Reorder the terms: 20 = 10(7 + w) 20 = (7 * 10 + w * 10) 20 = (70 + 10w) Solving 20 = 70 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 20 + -10w = 70 + 10w + -10w Combine like terms: 10w + -10w = 0 20 + -10w = 70 + 0 20 + -10w = 70 Add '-20' to each side of the equation. 20 + -20 + -10w = 70 + -20 Combine like terms: 20 + -20 = 0 0 + -10w = 70 + -20 -10w = 70 + -20 Combine like terms: 70 + -20 = 50 -10w = 50 Divide each side by '-10'. w = -5 Simplifying w = -5
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