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Simplifying 4w + -12 = 9(w + -3) Reorder the terms: -12 + 4w = 9(w + -3) Reorder the terms: -12 + 4w = 9(-3 + w) -12 + 4w = (-3 * 9 + w * 9) -12 + 4w = (-27 + 9w) Solving -12 + 4w = -27 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -12 + 4w + -9w = -27 + 9w + -9w Combine like terms: 4w + -9w = -5w -12 + -5w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 -12 + -5w = -27 + 0 -12 + -5w = -27 Add '12' to each side of the equation. -12 + 12 + -5w = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -27 + 12 -5w = -27 + 12 Combine like terms: -27 + 12 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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