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Simplifying 3u + 3 + -4(-2u + -2) = 7(u + -1) Reorder the terms: 3u + 3 + -4(-2 + -2u) = 7(u + -1) 3u + 3 + (-2 * -4 + -2u * -4) = 7(u + -1) 3u + 3 + (8 + 8u) = 7(u + -1) Reorder the terms: 3 + 8 + 3u + 8u = 7(u + -1) Combine like terms: 3 + 8 = 11 11 + 3u + 8u = 7(u + -1) Combine like terms: 3u + 8u = 11u 11 + 11u = 7(u + -1) Reorder the terms: 11 + 11u = 7(-1 + u) 11 + 11u = (-1 * 7 + u * 7) 11 + 11u = (-7 + 7u) Solving 11 + 11u = -7 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 11 + 11u + -7u = -7 + 7u + -7u Combine like terms: 11u + -7u = 4u 11 + 4u = -7 + 7u + -7u Combine like terms: 7u + -7u = 0 11 + 4u = -7 + 0 11 + 4u = -7 Add '-11' to each side of the equation. 11 + -11 + 4u = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 4u = -7 + -11 4u = -7 + -11 Combine like terms: -7 + -11 = -18 4u = -18 Divide each side by '4'. u = -4.5 Simplifying u = -4.5
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