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Simplifying 4(3 + w) = 3(w + -5) (3 * 4 + w * 4) = 3(w + -5) (12 + 4w) = 3(w + -5) Reorder the terms: 12 + 4w = 3(-5 + w) 12 + 4w = (-5 * 3 + w * 3) 12 + 4w = (-15 + 3w) Solving 12 + 4w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + 4w + -3w = -15 + 3w + -3w Combine like terms: 4w + -3w = 1w 12 + 1w = -15 + 3w + -3w Combine like terms: 3w + -3w = 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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