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Simplifying -5(w + -4) + 5w = 3(w + 7) Reorder the terms: -5(-4 + w) + 5w = 3(w + 7) (-4 * -5 + w * -5) + 5w = 3(w + 7) (20 + -5w) + 5w = 3(w + 7) Combine like terms: -5w + 5w = 0 20 + 0 = 3(w + 7) 20 = 3(w + 7) Reorder the terms: 20 = 3(7 + w) 20 = (7 * 3 + w * 3) 20 = (21 + 3w) Solving 20 = 21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 20 + -3w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + -3w = 21 + 0 20 + -3w = 21 Add '-20' to each side of the equation. 20 + -20 + -3w = 21 + -20 Combine like terms: 20 + -20 = 0 0 + -3w = 21 + -20 -3w = 21 + -20 Combine like terms: 21 + -20 = 1 -3w = 1 Divide each side by '-3'. w = -0.3333333333 Simplifying w = -0.3333333333
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