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Simplifying -9w + -37 = 2(w + 9) Reorder the terms: -37 + -9w = 2(w + 9) Reorder the terms: -37 + -9w = 2(9 + w) -37 + -9w = (9 * 2 + w * 2) -37 + -9w = (18 + 2w) Solving -37 + -9w = 18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -37 + -9w + -2w = 18 + 2w + -2w Combine like terms: -9w + -2w = -11w -37 + -11w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -37 + -11w = 18 + 0 -37 + -11w = 18 Add '37' to each side of the equation. -37 + 37 + -11w = 18 + 37 Combine like terms: -37 + 37 = 0 0 + -11w = 18 + 37 -11w = 18 + 37 Combine like terms: 18 + 37 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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