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Simplifying -3(4u + -1) + 2u = 9 + 2(4u + -7) Reorder the terms: -3(-1 + 4u) + 2u = 9 + 2(4u + -7) (-1 * -3 + 4u * -3) + 2u = 9 + 2(4u + -7) (3 + -12u) + 2u = 9 + 2(4u + -7) Combine like terms: -12u + 2u = -10u 3 + -10u = 9 + 2(4u + -7) Reorder the terms: 3 + -10u = 9 + 2(-7 + 4u) 3 + -10u = 9 + (-7 * 2 + 4u * 2) 3 + -10u = 9 + (-14 + 8u) Combine like terms: 9 + -14 = -5 3 + -10u = -5 + 8u Solving 3 + -10u = -5 + 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 + -10u + -8u = -5 + 8u + -8u Combine like terms: -10u + -8u = -18u 3 + -18u = -5 + 8u + -8u Combine like terms: 8u + -8u = 0 3 + -18u = -5 + 0 3 + -18u = -5 Add '-3' to each side of the equation. 3 + -3 + -18u = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -18u = -5 + -3 -18u = -5 + -3 Combine like terms: -5 + -3 = -8 -18u = -8 Divide each side by '-18'. u = 0.4444444444 Simplifying u = 0.4444444444
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