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Simplifying 3(1 + -2w) + 8w = 15 (1 * 3 + -2w * 3) + 8w = 15 (3 + -6w) + 8w = 15 Combine like terms: -6w + 8w = 2w 3 + 2w = 15 Solving 3 + 2w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 15 + -3 2w = 15 + -3 Combine like terms: 15 + -3 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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