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Simplifying 7(w + 5) = 5w + 21 Reorder the terms: 7(5 + w) = 5w + 21 (5 * 7 + w * 7) = 5w + 21 (35 + 7w) = 5w + 21 Reorder the terms: 35 + 7w = 21 + 5w Solving 35 + 7w = 21 + 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. 35 + 7w + -5w = 21 + 5w + -5w Combine like terms: 7w + -5w = 2w 35 + 2w = 21 + 5w + -5w Combine like terms: 5w + -5w = 0 35 + 2w = 21 + 0 35 + 2w = 21 Add '-35' to each side of the equation. 35 + -35 + 2w = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 2w = 21 + -35 2w = 21 + -35 Combine like terms: 21 + -35 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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