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Simplifying 7(w + 8) = 9w + 36 Reorder the terms: 7(8 + w) = 9w + 36 (8 * 7 + w * 7) = 9w + 36 (56 + 7w) = 9w + 36 Reorder the terms: 56 + 7w = 36 + 9w Solving 56 + 7w = 36 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 56 + 7w + -9w = 36 + 9w + -9w Combine like terms: 7w + -9w = -2w 56 + -2w = 36 + 9w + -9w Combine like terms: 9w + -9w = 0 56 + -2w = 36 + 0 56 + -2w = 36 Add '-56' to each side of the equation. 56 + -56 + -2w = 36 + -56 Combine like terms: 56 + -56 = 0 0 + -2w = 36 + -56 -2w = 36 + -56 Combine like terms: 36 + -56 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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