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Simplifying -50 = u + 2(u + -9) + -2 Reorder the terms: -50 = u + 2(-9 + u) + -2 -50 = u + (-9 * 2 + u * 2) + -2 -50 = u + (-18 + 2u) + -2 Reorder the terms: -50 = -18 + -2 + u + 2u Combine like terms: -18 + -2 = -20 -50 = -20 + u + 2u Combine like terms: u + 2u = 3u -50 = -20 + 3u Solving -50 = -20 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -50 + -3u = -20 + 3u + -3u Combine like terms: 3u + -3u = 0 -50 + -3u = -20 + 0 -50 + -3u = -20 Add '50' to each side of the equation. -50 + 50 + -3u = -20 + 50 Combine like terms: -50 + 50 = 0 0 + -3u = -20 + 50 -3u = -20 + 50 Combine like terms: -20 + 50 = 30 -3u = 30 Divide each side by '-3'. u = -10 Simplifying u = -10
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