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Simplifying 4(w + 3) = 5(w + -3) Reorder the terms: 4(3 + w) = 5(w + -3) (3 * 4 + w * 4) = 5(w + -3) (12 + 4w) = 5(w + -3) Reorder the terms: 12 + 4w = 5(-3 + w) 12 + 4w = (-3 * 5 + w * 5) 12 + 4w = (-15 + 5w) Solving 12 + 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. 12 + 4w + -5w = -15 + 5w + -5w Combine like terms: 4w + -5w = -1w 12 + -1w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -1w = -15 + 0 12 + -1w = -15 Add '-12' to each side of the equation. 12 + -12 + -1w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = -15 + -12 -1w = -15 + -12 Combine like terms: -15 + -12 = -27 -1w = -27 Divide each side by '-1'. w = 27 Simplifying w = 27
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