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Simplifying 5(w + 3) + 3(w + 1) = 14 Reorder the terms: 5(3 + w) + 3(w + 1) = 14 (3 * 5 + w * 5) + 3(w + 1) = 14 (15 + 5w) + 3(w + 1) = 14 Reorder the terms: 15 + 5w + 3(1 + w) = 14 15 + 5w + (1 * 3 + w * 3) = 14 15 + 5w + (3 + 3w) = 14 Reorder the terms: 15 + 3 + 5w + 3w = 14 Combine like terms: 15 + 3 = 18 18 + 5w + 3w = 14 Combine like terms: 5w + 3w = 8w 18 + 8w = 14 Solving 18 + 8w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8w = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 8w = 14 + -18 8w = 14 + -18 Combine like terms: 14 + -18 = -4 8w = -4 Divide each side by '8'. w = -0.5 Simplifying w = -0.5
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