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Simplifying 4(w + 8) + 5w = 14 Reorder the terms: 4(8 + w) + 5w = 14 (8 * 4 + w * 4) + 5w = 14 (32 + 4w) + 5w = 14 Combine like terms: 4w + 5w = 9w 32 + 9w = 14 Solving 32 + 9w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 9w = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 9w = 14 + -32 9w = 14 + -32 Combine like terms: 14 + -32 = -18 9w = -18 Divide each side by '9'. w = -2 Simplifying w = -2
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