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Simplifying 3(4u + -1) + -5(u + -3) + -9 = 0 Reorder the terms: 3(-1 + 4u) + -5(u + -3) + -9 = 0 (-1 * 3 + 4u * 3) + -5(u + -3) + -9 = 0 (-3 + 12u) + -5(u + -3) + -9 = 0 Reorder the terms: -3 + 12u + -5(-3 + u) + -9 = 0 -3 + 12u + (-3 * -5 + u * -5) + -9 = 0 -3 + 12u + (15 + -5u) + -9 = 0 Reorder the terms: -3 + 15 + -9 + 12u + -5u = 0 Combine like terms: -3 + 15 = 12 12 + -9 + 12u + -5u = 0 Combine like terms: 12 + -9 = 3 3 + 12u + -5u = 0 Combine like terms: 12u + -5u = 7u 3 + 7u = 0 Solving 3 + 7u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7u = 0 + -3 7u = 0 + -3 Combine like terms: 0 + -3 = -3 7u = -3 Divide each side by '7'. u = -0.4285714286 Simplifying u = -0.4285714286
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