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Simplifying 7(w + 1) = 5w + 21 Reorder the terms: 7(1 + w) = 5w + 21 (1 * 7 + w * 7) = 5w + 21 (7 + 7w) = 5w + 21 Reorder the terms: 7 + 7w = 21 + 5w Solving 7 + 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. 7 + 7w + -5w = 21 + 5w + -5w Combine like terms: 7w + -5w = 2w 7 + 2w = 21 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + 2w = 21 + 0 7 + 2w = 21 Add '-7' to each side of the equation. 7 + -7 + 2w = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 21 + -7 2w = 21 + -7 Combine like terms: 21 + -7 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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