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Simplifying 9(w + 2) = 7w + 20 Reorder the terms: 9(2 + w) = 7w + 20 (2 * 9 + w * 9) = 7w + 20 (18 + 9w) = 7w + 20 Reorder the terms: 18 + 9w = 20 + 7w Solving 18 + 9w = 20 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 18 + 9w + -7w = 20 + 7w + -7w Combine like terms: 9w + -7w = 2w 18 + 2w = 20 + 7w + -7w Combine like terms: 7w + -7w = 0 18 + 2w = 20 + 0 18 + 2w = 20 Add '-18' to each side of the equation. 18 + -18 + 2w = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 20 + -18 2w = 20 + -18 Combine like terms: 20 + -18 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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