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Simplifying 39 + -2(2w + 1) = 9w + -2(9 + w) Reorder the terms: 39 + -2(1 + 2w) = 9w + -2(9 + w) 39 + (1 * -2 + 2w * -2) = 9w + -2(9 + w) 39 + (-2 + -4w) = 9w + -2(9 + w) Combine like terms: 39 + -2 = 37 37 + -4w = 9w + -2(9 + w) 37 + -4w = 9w + (9 * -2 + w * -2) 37 + -4w = 9w + (-18 + -2w) Reorder the terms: 37 + -4w = -18 + 9w + -2w Combine like terms: 9w + -2w = 7w 37 + -4w = -18 + 7w Solving 37 + -4w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 37 + -4w + -7w = -18 + 7w + -7w Combine like terms: -4w + -7w = -11w 37 + -11w = -18 + 7w + -7w Combine like terms: 7w + -7w = 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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