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Simplifying 4(w + -5) = 5(3 + w) Reorder the terms: 4(-5 + w) = 5(3 + w) (-5 * 4 + w * 4) = 5(3 + w) (-20 + 4w) = 5(3 + w) -20 + 4w = (3 * 5 + w * 5) -20 + 4w = (15 + 5w) Solving -20 + 4w = 15 + 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. -20 + 4w + -5w = 15 + 5w + -5w Combine like terms: 4w + -5w = -1w -20 + -1w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 -20 + -1w = 15 + 0 -20 + -1w = 15 Add '20' to each side of the equation. -20 + 20 + -1w = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 15 + 20 -1w = 15 + 20 Combine like terms: 15 + 20 = 35 -1w = 35 Divide each side by '-1'. w = -35 Simplifying w = -35
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