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Simplifying 5(4w + -20) = (5w + -25) Reorder the terms: 5(-20 + 4w) = (5w + -25) (-20 * 5 + 4w * 5) = (5w + -25) (-100 + 20w) = (5w + -25) Reorder the terms: -100 + 20w = (-25 + 5w) Remove parenthesis around (-25 + 5w) -100 + 20w = -25 + 5w Solving -100 + 20w = -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. -100 + 20w + -5w = -25 + 5w + -5w Combine like terms: 20w + -5w = 15w -100 + 15w = -25 + 5w + -5w Combine like terms: 5w + -5w = 0 -100 + 15w = -25 + 0 -100 + 15w = -25 Add '100' to each side of the equation. -100 + 100 + 15w = -25 + 100 Combine like terms: -100 + 100 = 0 0 + 15w = -25 + 100 15w = -25 + 100 Combine like terms: -25 + 100 = 75 15w = 75 Divide each side by '15'. w = 5 Simplifying w = 5
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