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Simplifying 4(w + 3) = 9w + 2 Reorder the terms: 4(3 + w) = 9w + 2 (3 * 4 + w * 4) = 9w + 2 (12 + 4w) = 9w + 2 Reorder the terms: 12 + 4w = 2 + 9w Solving 12 + 4w = 2 + 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 = 2 + 9w + -9w Combine like terms: 4w + -9w = -5w 12 + -5w = 2 + 9w + -9w Combine like terms: 9w + -9w = 0 12 + -5w = 2 + 0 12 + -5w = 2 Add '-12' to each side of the equation. 12 + -12 + -5w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 2 + -12 -5w = 2 + -12 Combine like terms: 2 + -12 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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