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Simplifying 9u + 1 + -3(-4u + -1) = 6(u + -1) Reorder the terms: 9u + 1 + -3(-1 + -4u) = 6(u + -1) 9u + 1 + (-1 * -3 + -4u * -3) = 6(u + -1) 9u + 1 + (3 + 12u) = 6(u + -1) Reorder the terms: 1 + 3 + 9u + 12u = 6(u + -1) Combine like terms: 1 + 3 = 4 4 + 9u + 12u = 6(u + -1) Combine like terms: 9u + 12u = 21u 4 + 21u = 6(u + -1) Reorder the terms: 4 + 21u = 6(-1 + u) 4 + 21u = (-1 * 6 + u * 6) 4 + 21u = (-6 + 6u) Solving 4 + 21u = -6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 4 + 21u + -6u = -6 + 6u + -6u Combine like terms: 21u + -6u = 15u 4 + 15u = -6 + 6u + -6u Combine like terms: 6u + -6u = 0 4 + 15u = -6 + 0 4 + 15u = -6 Add '-4' to each side of the equation. 4 + -4 + 15u = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 15u = -6 + -4 15u = -6 + -4 Combine like terms: -6 + -4 = -10 15u = -10 Divide each side by '15'. u = -0.6666666667 Simplifying u = -0.6666666667
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