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Simplifying 4w + -12 = 5(w + 3) Reorder the terms: -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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