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Simplifying -2w + 41 = 9(w + 7) Reorder the terms: 41 + -2w = 9(w + 7) Reorder the terms: 41 + -2w = 9(7 + w) 41 + -2w = (7 * 9 + w * 9) 41 + -2w = (63 + 9w) Solving 41 + -2w = 63 + 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. 41 + -2w + -9w = 63 + 9w + -9w Combine like terms: -2w + -9w = -11w 41 + -11w = 63 + 9w + -9w Combine like terms: 9w + -9w = 0 41 + -11w = 63 + 0 41 + -11w = 63 Add '-41' to each side of the equation. 41 + -41 + -11w = 63 + -41 Combine like terms: 41 + -41 = 0 0 + -11w = 63 + -41 -11w = 63 + -41 Combine like terms: 63 + -41 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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