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Simplifying 4(w + 3) + 6w = 32 Reorder the terms: 4(3 + w) + 6w = 32 (3 * 4 + w * 4) + 6w = 32 (12 + 4w) + 6w = 32 Combine like terms: 4w + 6w = 10w 12 + 10w = 32 Solving 12 + 10w = 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 + 10w = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10w = 32 + -12 10w = 32 + -12 Combine like terms: 32 + -12 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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