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Simplifying -2(4u + -8) + 4u = 7 + 3(2u + -1) Reorder the terms: -2(-8 + 4u) + 4u = 7 + 3(2u + -1) (-8 * -2 + 4u * -2) + 4u = 7 + 3(2u + -1) (16 + -8u) + 4u = 7 + 3(2u + -1) Combine like terms: -8u + 4u = -4u 16 + -4u = 7 + 3(2u + -1) Reorder the terms: 16 + -4u = 7 + 3(-1 + 2u) 16 + -4u = 7 + (-1 * 3 + 2u * 3) 16 + -4u = 7 + (-3 + 6u) Combine like terms: 7 + -3 = 4 16 + -4u = 4 + 6u Solving 16 + -4u = 4 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 16 + -4u + -6u = 4 + 6u + -6u Combine like terms: -4u + -6u = -10u 16 + -10u = 4 + 6u + -6u Combine like terms: 6u + -6u = 0 16 + -10u = 4 + 0 16 + -10u = 4 Add '-16' to each side of the equation. 16 + -16 + -10u = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -10u = 4 + -16 -10u = 4 + -16 Combine like terms: 4 + -16 = -12 -10u = -12 Divide each side by '-10'. u = 1.2 Simplifying u = 1.2
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