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Simplifying 5u + 7 + -2(-7u + -2) = 3(u + -1) Reorder the terms: 5u + 7 + -2(-2 + -7u) = 3(u + -1) 5u + 7 + (-2 * -2 + -7u * -2) = 3(u + -1) 5u + 7 + (4 + 14u) = 3(u + -1) Reorder the terms: 7 + 4 + 5u + 14u = 3(u + -1) Combine like terms: 7 + 4 = 11 11 + 5u + 14u = 3(u + -1) Combine like terms: 5u + 14u = 19u 11 + 19u = 3(u + -1) Reorder the terms: 11 + 19u = 3(-1 + u) 11 + 19u = (-1 * 3 + u * 3) 11 + 19u = (-3 + 3u) Solving 11 + 19u = -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. 11 + 19u + -3u = -3 + 3u + -3u Combine like terms: 19u + -3u = 16u 11 + 16u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 11 + 16u = -3 + 0 11 + 16u = -3 Add '-11' to each side of the equation. 11 + -11 + 16u = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 16u = -3 + -11 16u = -3 + -11 Combine like terms: -3 + -11 = -14 16u = -14 Divide each side by '16'. u = -0.875 Simplifying u = -0.875
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