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Simplifying 4(w + -2) = 5(w + -4) Reorder the terms: 4(-2 + w) = 5(w + -4) (-2 * 4 + w * 4) = 5(w + -4) (-8 + 4w) = 5(w + -4) Reorder the terms: -8 + 4w = 5(-4 + w) -8 + 4w = (-4 * 5 + w * 5) -8 + 4w = (-20 + 5w) Solving -8 + 4w = -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. -8 + 4w + -5w = -20 + 5w + -5w Combine like terms: 4w + -5w = -1w -8 + -1w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + -1w = -20 + 0 -8 + -1w = -20 Add '8' to each side of the equation. -8 + 8 + -1w = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = -20 + 8 -1w = -20 + 8 Combine like terms: -20 + 8 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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