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Simplifying 7u + 4 + -3(-2u + -1) = 5(u + -1) Reorder the terms: 7u + 4 + -3(-1 + -2u) = 5(u + -1) 7u + 4 + (-1 * -3 + -2u * -3) = 5(u + -1) 7u + 4 + (3 + 6u) = 5(u + -1) Reorder the terms: 4 + 3 + 7u + 6u = 5(u + -1) Combine like terms: 4 + 3 = 7 7 + 7u + 6u = 5(u + -1) Combine like terms: 7u + 6u = 13u 7 + 13u = 5(u + -1) Reorder the terms: 7 + 13u = 5(-1 + u) 7 + 13u = (-1 * 5 + u * 5) 7 + 13u = (-5 + 5u) Solving 7 + 13u = -5 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 7 + 13u + -5u = -5 + 5u + -5u Combine like terms: 13u + -5u = 8u 7 + 8u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 7 + 8u = -5 + 0 7 + 8u = -5 Add '-7' to each side of the equation. 7 + -7 + 8u = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 8u = -5 + -7 8u = -5 + -7 Combine like terms: -5 + -7 = -12 8u = -12 Divide each side by '8'. u = -1.5 Simplifying u = -1.5
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