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Simplifying -6(-5u + 1) + -3(4u + -12) = 0 Reorder the terms: -6(1 + -5u) + -3(4u + -12) = 0 (1 * -6 + -5u * -6) + -3(4u + -12) = 0 (-6 + 30u) + -3(4u + -12) = 0 Reorder the terms: -6 + 30u + -3(-12 + 4u) = 0 -6 + 30u + (-12 * -3 + 4u * -3) = 0 -6 + 30u + (36 + -12u) = 0 Reorder the terms: -6 + 36 + 30u + -12u = 0 Combine like terms: -6 + 36 = 30 30 + 30u + -12u = 0 Combine like terms: 30u + -12u = 18u 30 + 18u = 0 Solving 30 + 18u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18u = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 18u = 0 + -30 18u = 0 + -30 Combine like terms: 0 + -30 = -30 18u = -30 Divide each side by '18'. u = -1.666666667 Simplifying u = -1.666666667
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