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Simplifying -2(2u + -4) + 2u = 8 + 2(5u + -2) Reorder the terms: -2(-4 + 2u) + 2u = 8 + 2(5u + -2) (-4 * -2 + 2u * -2) + 2u = 8 + 2(5u + -2) (8 + -4u) + 2u = 8 + 2(5u + -2) Combine like terms: -4u + 2u = -2u 8 + -2u = 8 + 2(5u + -2) Reorder the terms: 8 + -2u = 8 + 2(-2 + 5u) 8 + -2u = 8 + (-2 * 2 + 5u * 2) 8 + -2u = 8 + (-4 + 10u) Combine like terms: 8 + -4 = 4 8 + -2u = 4 + 10u Solving 8 + -2u = 4 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. 8 + -2u + -10u = 4 + 10u + -10u Combine like terms: -2u + -10u = -12u 8 + -12u = 4 + 10u + -10u Combine like terms: 10u + -10u = 0 8 + -12u = 4 + 0 8 + -12u = 4 Add '-8' to each side of the equation. 8 + -8 + -12u = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -12u = 4 + -8 -12u = 4 + -8 Combine like terms: 4 + -8 = -4 -12u = -4 Divide each side by '-12'. u = 0.3333333333 Simplifying u = 0.3333333333
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