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Simplifying 7u + 5 + -4(-3u + -1) = 3(u + -1) Reorder the terms: 7u + 5 + -4(-1 + -3u) = 3(u + -1) 7u + 5 + (-1 * -4 + -3u * -4) = 3(u + -1) 7u + 5 + (4 + 12u) = 3(u + -1) Reorder the terms: 5 + 4 + 7u + 12u = 3(u + -1) Combine like terms: 5 + 4 = 9 9 + 7u + 12u = 3(u + -1) Combine like terms: 7u + 12u = 19u 9 + 19u = 3(u + -1) Reorder the terms: 9 + 19u = 3(-1 + u) 9 + 19u = (-1 * 3 + u * 3) 9 + 19u = (-3 + 3u) Solving 9 + 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. 9 + 19u + -3u = -3 + 3u + -3u Combine like terms: 19u + -3u = 16u 9 + 16u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 9 + 16u = -3 + 0 9 + 16u = -3 Add '-9' to each side of the equation. 9 + -9 + 16u = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 16u = -3 + -9 16u = -3 + -9 Combine like terms: -3 + -9 = -12 16u = -12 Divide each side by '16'. u = -0.75 Simplifying u = -0.75
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