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Simplifying (4 + 3w) * 2 + 2w = 80 Reorder the terms for easier multiplication: 2(4 + 3w) + 2w = 80 (4 * 2 + 3w * 2) + 2w = 80 (8 + 6w) + 2w = 80 Combine like terms: 6w + 2w = 8w 8 + 8w = 80 Solving 8 + 8w = 80 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8w = 80 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 80 + -8 8w = 80 + -8 Combine like terms: 80 + -8 = 72 8w = 72 Divide each side by '8'. w = 9 Simplifying w = 9
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