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Simplifying 8(w + 4) = 5(13 + w) Reorder the terms: 8(4 + w) = 5(13 + w) (4 * 8 + w * 8) = 5(13 + w) (32 + 8w) = 5(13 + w) 32 + 8w = (13 * 5 + w * 5) 32 + 8w = (65 + 5w) Solving 32 + 8w = 65 + 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 = 65 + 5w + -5w Combine like terms: 8w + -5w = 3w 32 + 3w = 65 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + 3w = 65 + 0 32 + 3w = 65 Add '-32' to each side of the equation. 32 + -32 + 3w = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 3w = 65 + -32 3w = 65 + -32 Combine like terms: 65 + -32 = 33 3w = 33 Divide each side by '3'. w = 11 Simplifying w = 11
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