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Simplifying -5(2u + -1) + 6u = 7 + 2(4u + -3) Reorder the terms: -5(-1 + 2u) + 6u = 7 + 2(4u + -3) (-1 * -5 + 2u * -5) + 6u = 7 + 2(4u + -3) (5 + -10u) + 6u = 7 + 2(4u + -3) Combine like terms: -10u + 6u = -4u 5 + -4u = 7 + 2(4u + -3) Reorder the terms: 5 + -4u = 7 + 2(-3 + 4u) 5 + -4u = 7 + (-3 * 2 + 4u * 2) 5 + -4u = 7 + (-6 + 8u) Combine like terms: 7 + -6 = 1 5 + -4u = 1 + 8u Solving 5 + -4u = 1 + 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. 5 + -4u + -8u = 1 + 8u + -8u Combine like terms: -4u + -8u = -12u 5 + -12u = 1 + 8u + -8u Combine like terms: 8u + -8u = 0 5 + -12u = 1 + 0 5 + -12u = 1 Add '-5' to each side of the equation. 5 + -5 + -12u = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -12u = 1 + -5 -12u = 1 + -5 Combine like terms: 1 + -5 = -4 -12u = -4 Divide each side by '-12'. u = 0.3333333333 Simplifying u = 0.3333333333
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