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Simplifying 5(w + 6) + 8w = 35 Reorder the terms: 5(6 + w) + 8w = 35 (6 * 5 + w * 5) + 8w = 35 (30 + 5w) + 8w = 35 Combine like terms: 5w + 8w = 13w 30 + 13w = 35 Solving 30 + 13w = 35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 13w = 35 + -30 Combine like terms: 30 + -30 = 0 0 + 13w = 35 + -30 13w = 35 + -30 Combine like terms: 35 + -30 = 5 13w = 5 Divide each side by '13'. w = 0.3846153846 Simplifying w = 0.3846153846
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