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Simplifying 5(w + -20) = 4(5w + -25) Reorder the terms: 5(-20 + w) = 4(5w + -25) (-20 * 5 + w * 5) = 4(5w + -25) (-100 + 5w) = 4(5w + -25) Reorder the terms: -100 + 5w = 4(-25 + 5w) -100 + 5w = (-25 * 4 + 5w * 4) -100 + 5w = (-100 + 20w) Add '100' to each side of the equation. -100 + 100 + 5w = -100 + 100 + 20w Combine like terms: -100 + 100 = 0 0 + 5w = -100 + 100 + 20w 5w = -100 + 100 + 20w Combine like terms: -100 + 100 = 0 5w = 0 + 20w 5w = 20w Solving 5w = 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 5w + -20w = 20w + -20w Combine like terms: 5w + -20w = -15w -15w = 20w + -20w Combine like terms: 20w + -20w = 0 -15w = 0 Divide each side by '-15'. w = 0 Simplifying w = 0
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