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Simplifying -22 + -2w = 9w + 55 Reorder the terms: -22 + -2w = 55 + 9w Solving -22 + -2w = 55 + 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. -22 + -2w + -9w = 55 + 9w + -9w Combine like terms: -2w + -9w = -11w -22 + -11w = 55 + 9w + -9w Combine like terms: 9w + -9w = 0 -22 + -11w = 55 + 0 -22 + -11w = 55 Add '22' to each side of the equation. -22 + 22 + -11w = 55 + 22 Combine like terms: -22 + 22 = 0 0 + -11w = 55 + 22 -11w = 55 + 22 Combine like terms: 55 + 22 = 77 -11w = 77 Divide each side by '-11'. w = -7 Simplifying w = -7
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