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Simplifying -2w + 7 = 9w + -4 Reorder the terms: 7 + -2w = 9w + -4 Reorder the terms: 7 + -2w = -4 + 9w Solving 7 + -2w = -4 + 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. 7 + -2w + -9w = -4 + 9w + -9w Combine like terms: -2w + -9w = -11w 7 + -11w = -4 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -11w = -4 + 0 7 + -11w = -4 Add '-7' to each side of the equation. 7 + -7 + -11w = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11w = -4 + -7 -11w = -4 + -7 Combine like terms: -4 + -7 = -11 -11w = -11 Divide each side by '-11'. w = 1 Simplifying w = 1
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