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Simplifying 7(w + 5) = 9w + 27 Reorder the terms: 7(5 + w) = 9w + 27 (5 * 7 + w * 7) = 9w + 27 (35 + 7w) = 9w + 27 Reorder the terms: 35 + 7w = 27 + 9w Solving 35 + 7w = 27 + 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. 35 + 7w + -9w = 27 + 9w + -9w Combine like terms: 7w + -9w = -2w 35 + -2w = 27 + 9w + -9w Combine like terms: 9w + -9w = 0 35 + -2w = 27 + 0 35 + -2w = 27 Add '-35' to each side of the equation. 35 + -35 + -2w = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -2w = 27 + -35 -2w = 27 + -35 Combine like terms: 27 + -35 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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