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Simplifying 2 + -2w + 7 = 9w + -4 Reorder the terms: 2 + 7 + -2w = 9w + -4 Combine like terms: 2 + 7 = 9 9 + -2w = 9w + -4 Reorder the terms: 9 + -2w = -4 + 9w Solving 9 + -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. 9 + -2w + -9w = -4 + 9w + -9w Combine like terms: -2w + -9w = -11w 9 + -11w = -4 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -11w = -4 + 0 9 + -11w = -4 Add '-9' to each side of the equation. 9 + -9 + -11w = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -11w = -4 + -9 -11w = -4 + -9 Combine like terms: -4 + -9 = -13 -11w = -13 Divide each side by '-11'. w = 1.181818182 Simplifying w = 1.181818182
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