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Simplifying 5(w + 1) + 3(w + 1) = 14 Reorder the terms: 5(1 + w) + 3(w + 1) = 14 (1 * 5 + w * 5) + 3(w + 1) = 14 (5 + 5w) + 3(w + 1) = 14 Reorder the terms: 5 + 5w + 3(1 + w) = 14 5 + 5w + (1 * 3 + w * 3) = 14 5 + 5w + (3 + 3w) = 14 Reorder the terms: 5 + 3 + 5w + 3w = 14 Combine like terms: 5 + 3 = 8 8 + 5w + 3w = 14 Combine like terms: 5w + 3w = 8w 8 + 8w = 14 Solving 8 + 8w = 14 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 = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 14 + -8 8w = 14 + -8 Combine like terms: 14 + -8 = 6 8w = 6 Divide each side by '8'. w = 0.75 Simplifying w = 0.75
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