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Simplifying 5(4w + -2) = 5(3w + -3) Reorder the terms: 5(-2 + 4w) = 5(3w + -3) (-2 * 5 + 4w * 5) = 5(3w + -3) (-10 + 20w) = 5(3w + -3) Reorder the terms: -10 + 20w = 5(-3 + 3w) -10 + 20w = (-3 * 5 + 3w * 5) -10 + 20w = (-15 + 15w) Solving -10 + 20w = -15 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -10 + 20w + -15w = -15 + 15w + -15w Combine like terms: 20w + -15w = 5w -10 + 5w = -15 + 15w + -15w Combine like terms: 15w + -15w = 0 -10 + 5w = -15 + 0 -10 + 5w = -15 Add '10' to each side of the equation. -10 + 10 + 5w = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5w = -15 + 10 5w = -15 + 10 Combine like terms: -15 + 10 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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