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Simplifying 12 = 2(4u + -3) + -2(5u + -1) + -6 Reorder the terms: 12 = 2(-3 + 4u) + -2(5u + -1) + -6 12 = (-3 * 2 + 4u * 2) + -2(5u + -1) + -6 12 = (-6 + 8u) + -2(5u + -1) + -6 Reorder the terms: 12 = -6 + 8u + -2(-1 + 5u) + -6 12 = -6 + 8u + (-1 * -2 + 5u * -2) + -6 12 = -6 + 8u + (2 + -10u) + -6 Reorder the terms: 12 = -6 + 2 + -6 + 8u + -10u Combine like terms: -6 + 2 = -4 12 = -4 + -6 + 8u + -10u Combine like terms: -4 + -6 = -10 12 = -10 + 8u + -10u Combine like terms: 8u + -10u = -2u 12 = -10 + -2u Solving 12 = -10 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 12 + 2u = -10 + -2u + 2u Combine like terms: -2u + 2u = 0 12 + 2u = -10 + 0 12 + 2u = -10 Add '-12' to each side of the equation. 12 + -12 + 2u = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 2u = -10 + -12 2u = -10 + -12 Combine like terms: -10 + -12 = -22 2u = -22 Divide each side by '2'. u = -11 Simplifying u = -11
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