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Simplifying 4u + 4 + -5(-3u + -1) = 7(u + -1) Reorder the terms: 4u + 4 + -5(-1 + -3u) = 7(u + -1) 4u + 4 + (-1 * -5 + -3u * -5) = 7(u + -1) 4u + 4 + (5 + 15u) = 7(u + -1) Reorder the terms: 4 + 5 + 4u + 15u = 7(u + -1) Combine like terms: 4 + 5 = 9 9 + 4u + 15u = 7(u + -1) Combine like terms: 4u + 15u = 19u 9 + 19u = 7(u + -1) Reorder the terms: 9 + 19u = 7(-1 + u) 9 + 19u = (-1 * 7 + u * 7) 9 + 19u = (-7 + 7u) Solving 9 + 19u = -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. 9 + 19u + -7u = -7 + 7u + -7u Combine like terms: 19u + -7u = 12u 9 + 12u = -7 + 7u + -7u Combine like terms: 7u + -7u = 0 9 + 12u = -7 + 0 9 + 12u = -7 Add '-9' to each side of the equation. 9 + -9 + 12u = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 12u = -7 + -9 12u = -7 + -9 Combine like terms: -7 + -9 = -16 12u = -16 Divide each side by '12'. u = -1.333333333 Simplifying u = -1.333333333
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