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Simplifying 5(1[2u + -3] * 1) + -12u = 0 Reorder the terms: 5(1[-3 + 2u] * 1) + -12u = 0 Reorder the terms for easier multiplication: 5(1 * 1[-3 + 2u]) + -12u = 0 Multiply 1 * 1 5(1[-3 + 2u]) + -12u = 0 5([-3 * 1 + 2u * 1]) + -12u = 0 5([-3 + 2u]) + -12u = 0 (-3 * 5 + 2u * 5) + -12u = 0 (-15 + 10u) + -12u = 0 Combine like terms: 10u + -12u = -2u -15 + -2u = 0 Solving -15 + -2u = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2u = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2u = 0 + 15 -2u = 0 + 15 Combine like terms: 0 + 15 = 15 -2u = 15 Divide each side by '-2'. u = -7.5 Simplifying u = -7.5
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