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Simplifying 9(w + 8) = 2w + 2 Reorder the terms: 9(8 + w) = 2w + 2 (8 * 9 + w * 9) = 2w + 2 (72 + 9w) = 2w + 2 Reorder the terms: 72 + 9w = 2 + 2w Solving 72 + 9w = 2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 72 + 9w + -2w = 2 + 2w + -2w Combine like terms: 9w + -2w = 7w 72 + 7w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 72 + 7w = 2 + 0 72 + 7w = 2 Add '-72' to each side of the equation. 72 + -72 + 7w = 2 + -72 Combine like terms: 72 + -72 = 0 0 + 7w = 2 + -72 7w = 2 + -72 Combine like terms: 2 + -72 = -70 7w = -70 Divide each side by '7'. w = -10 Simplifying w = -10
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