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Simplifying -3(3u + -1) + 5u = 9 + 4(2u + -4) Reorder the terms: -3(-1 + 3u) + 5u = 9 + 4(2u + -4) (-1 * -3 + 3u * -3) + 5u = 9 + 4(2u + -4) (3 + -9u) + 5u = 9 + 4(2u + -4) Combine like terms: -9u + 5u = -4u 3 + -4u = 9 + 4(2u + -4) Reorder the terms: 3 + -4u = 9 + 4(-4 + 2u) 3 + -4u = 9 + (-4 * 4 + 2u * 4) 3 + -4u = 9 + (-16 + 8u) Combine like terms: 9 + -16 = -7 3 + -4u = -7 + 8u Solving 3 + -4u = -7 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 3 + -4u + -8u = -7 + 8u + -8u Combine like terms: -4u + -8u = -12u 3 + -12u = -7 + 8u + -8u Combine like terms: 8u + -8u = 0 3 + -12u = -7 + 0 3 + -12u = -7 Add '-3' to each side of the equation. 3 + -3 + -12u = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -12u = -7 + -3 -12u = -7 + -3 Combine like terms: -7 + -3 = -10 -12u = -10 Divide each side by '-12'. u = 0.8333333333 Simplifying u = 0.8333333333
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