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Simplifying 3(3w + 4) + 3w = 32 Reorder the terms: 3(4 + 3w) + 3w = 32 (4 * 3 + 3w * 3) + 3w = 32 (12 + 9w) + 3w = 32 Combine like terms: 9w + 3w = 12w 12 + 12w = 32 Solving 12 + 12w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12w = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = 32 + -12 12w = 32 + -12 Combine like terms: 32 + -12 = 20 12w = 20 Divide each side by '12'. w = 1.666666667 Simplifying w = 1.666666667
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