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Simplifying 7(w + 4) = 5w + 24 Reorder the terms: 7(4 + w) = 5w + 24 (4 * 7 + w * 7) = 5w + 24 (28 + 7w) = 5w + 24 Reorder the terms: 28 + 7w = 24 + 5w Solving 28 + 7w = 24 + 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. 28 + 7w + -5w = 24 + 5w + -5w Combine like terms: 7w + -5w = 2w 28 + 2w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 28 + 2w = 24 + 0 28 + 2w = 24 Add '-28' to each side of the equation. 28 + -28 + 2w = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 24 + -28 2w = 24 + -28 Combine like terms: 24 + -28 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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