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Simplifying 3u + 1 + -2(-2u + -3) = 3(u + -1) Reorder the terms: 3u + 1 + -2(-3 + -2u) = 3(u + -1) 3u + 1 + (-3 * -2 + -2u * -2) = 3(u + -1) 3u + 1 + (6 + 4u) = 3(u + -1) Reorder the terms: 1 + 6 + 3u + 4u = 3(u + -1) Combine like terms: 1 + 6 = 7 7 + 3u + 4u = 3(u + -1) Combine like terms: 3u + 4u = 7u 7 + 7u = 3(u + -1) Reorder the terms: 7 + 7u = 3(-1 + u) 7 + 7u = (-1 * 3 + u * 3) 7 + 7u = (-3 + 3u) Solving 7 + 7u = -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. 7 + 7u + -3u = -3 + 3u + -3u Combine like terms: 7u + -3u = 4u 7 + 4u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 7 + 4u = -3 + 0 7 + 4u = -3 Add '-7' to each side of the equation. 7 + -7 + 4u = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 4u = -3 + -7 4u = -3 + -7 Combine like terms: -3 + -7 = -10 4u = -10 Divide each side by '4'. u = -2.5 Simplifying u = -2.5
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