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Simplifying 6 + -5u + 1 + -3(4u + -12) = 0 Reorder the terms: 6 + -5u + 1 + -3(-12 + 4u) = 0 6 + -5u + 1 + (-12 * -3 + 4u * -3) = 0 6 + -5u + 1 + (36 + -12u) = 0 Reorder the terms: 6 + 1 + 36 + -5u + -12u = 0 Combine like terms: 6 + 1 = 7 7 + 36 + -5u + -12u = 0 Combine like terms: 7 + 36 = 43 43 + -5u + -12u = 0 Combine like terms: -5u + -12u = -17u 43 + -17u = 0 Solving 43 + -17u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -17u = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -17u = 0 + -43 -17u = 0 + -43 Combine like terms: 0 + -43 = -43 -17u = -43 Divide each side by '-17'. u = 2.529411765 Simplifying u = 2.529411765
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