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Simplifying 3u + 7 + -4(-2u + -2) = 3(u + -1) Reorder the terms: 3u + 7 + -4(-2 + -2u) = 3(u + -1) 3u + 7 + (-2 * -4 + -2u * -4) = 3(u + -1) 3u + 7 + (8 + 8u) = 3(u + -1) Reorder the terms: 7 + 8 + 3u + 8u = 3(u + -1) Combine like terms: 7 + 8 = 15 15 + 3u + 8u = 3(u + -1) Combine like terms: 3u + 8u = 11u 15 + 11u = 3(u + -1) Reorder the terms: 15 + 11u = 3(-1 + u) 15 + 11u = (-1 * 3 + u * 3) 15 + 11u = (-3 + 3u) Solving 15 + 11u = -3 + 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. 15 + 11u + -3u = -3 + 3u + -3u Combine like terms: 11u + -3u = 8u 15 + 8u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 15 + 8u = -3 + 0 15 + 8u = -3 Add '-15' to each side of the equation. 15 + -15 + 8u = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 8u = -3 + -15 8u = -3 + -15 Combine like terms: -3 + -15 = -18 8u = -18 Divide each side by '8'. u = -2.25 Simplifying u = -2.25
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