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Simplifying -2(u + 1) = -3(5u + -2) + u Reorder the terms: -2(1 + u) = -3(5u + -2) + u (1 * -2 + u * -2) = -3(5u + -2) + u (-2 + -2u) = -3(5u + -2) + u Reorder the terms: -2 + -2u = -3(-2 + 5u) + u -2 + -2u = (-2 * -3 + 5u * -3) + u -2 + -2u = (6 + -15u) + u Combine like terms: -15u + u = -14u -2 + -2u = 6 + -14u Solving -2 + -2u = 6 + -14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '14u' to each side of the equation. -2 + -2u + 14u = 6 + -14u + 14u Combine like terms: -2u + 14u = 12u -2 + 12u = 6 + -14u + 14u Combine like terms: -14u + 14u = 0 -2 + 12u = 6 + 0 -2 + 12u = 6 Add '2' to each side of the equation. -2 + 2 + 12u = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 12u = 6 + 2 12u = 6 + 2 Combine like terms: 6 + 2 = 8 12u = 8 Divide each side by '12'. u = 0.6666666667 Simplifying u = 0.6666666667
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