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Simplifying 8(w + 4) = 5w + 14 Reorder the terms: 8(4 + w) = 5w + 14 (4 * 8 + w * 8) = 5w + 14 (32 + 8w) = 5w + 14 Reorder the terms: 32 + 8w = 14 + 5w Solving 32 + 8w = 14 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + 8w + -5w = 14 + 5w + -5w Combine like terms: 8w + -5w = 3w 32 + 3w = 14 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + 3w = 14 + 0 32 + 3w = 14 Add '-32' to each side of the equation. 32 + -32 + 3w = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 3w = 14 + -32 3w = 14 + -32 Combine like terms: 14 + -32 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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