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Simplifying -3(4u + -9) + 6u = 4(u + 8) Reorder the terms: -3(-9 + 4u) + 6u = 4(u + 8) (-9 * -3 + 4u * -3) + 6u = 4(u + 8) (27 + -12u) + 6u = 4(u + 8) Combine like terms: -12u + 6u = -6u 27 + -6u = 4(u + 8) Reorder the terms: 27 + -6u = 4(8 + u) 27 + -6u = (8 * 4 + u * 4) 27 + -6u = (32 + 4u) Solving 27 + -6u = 32 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 27 + -6u + -4u = 32 + 4u + -4u Combine like terms: -6u + -4u = -10u 27 + -10u = 32 + 4u + -4u Combine like terms: 4u + -4u = 0 27 + -10u = 32 + 0 27 + -10u = 32 Add '-27' to each side of the equation. 27 + -27 + -10u = 32 + -27 Combine like terms: 27 + -27 = 0 0 + -10u = 32 + -27 -10u = 32 + -27 Combine like terms: 32 + -27 = 5 -10u = 5 Divide each side by '-10'. u = -0.5 Simplifying u = -0.5
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