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Simplifying -4(3u + -1) = -1(-2u + -3 + -1u + -9) Reorder the terms: -4(-1 + 3u) = -1(-2u + -3 + -1u + -9) (-1 * -4 + 3u * -4) = -1(-2u + -3 + -1u + -9) (4 + -12u) = -1(-2u + -3 + -1u + -9) Reorder the terms: 4 + -12u = -1(-3 + -9 + -2u + -1u) Combine like terms: -3 + -9 = -12 4 + -12u = -1(-12 + -2u + -1u) Combine like terms: -2u + -1u = -3u 4 + -12u = -1(-12 + -3u) 4 + -12u = (-12 * -1 + -3u * -1) 4 + -12u = (12 + 3u) Solving 4 + -12u = 12 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 4 + -12u + -3u = 12 + 3u + -3u Combine like terms: -12u + -3u = -15u 4 + -15u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 4 + -15u = 12 + 0 4 + -15u = 12 Add '-4' to each side of the equation. 4 + -4 + -15u = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -15u = 12 + -4 -15u = 12 + -4 Combine like terms: 12 + -4 = 8 -15u = 8 Divide each side by '-15'. u = -0.5333333333 Simplifying u = -0.5333333333
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