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Simplifying -3(4w + -8) + 7w = 5(w + 4) Reorder the terms: -3(-8 + 4w) + 7w = 5(w + 4) (-8 * -3 + 4w * -3) + 7w = 5(w + 4) (24 + -12w) + 7w = 5(w + 4) Combine like terms: -12w + 7w = -5w 24 + -5w = 5(w + 4) Reorder the terms: 24 + -5w = 5(4 + w) 24 + -5w = (4 * 5 + w * 5) 24 + -5w = (20 + 5w) Solving 24 + -5w = 20 + 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 + -5w + -5w = 20 + 5w + -5w Combine like terms: -5w + -5w = -10w 24 + -10w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 24 + -10w = 20 + 0 24 + -10w = 20 Add '-24' to each side of the equation. 24 + -24 + -10w = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -10w = 20 + -24 -10w = 20 + -24 Combine like terms: 20 + -24 = -4 -10w = -4 Divide each side by '-10'. w = 0.4 Simplifying w = 0.4
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