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Simplifying -2(2u + -4) + 4u = 8 + 3(6u + -4) Reorder the terms: -2(-4 + 2u) + 4u = 8 + 3(6u + -4) (-4 * -2 + 2u * -2) + 4u = 8 + 3(6u + -4) (8 + -4u) + 4u = 8 + 3(6u + -4) Combine like terms: -4u + 4u = 0 8 + 0 = 8 + 3(6u + -4) 8 = 8 + 3(6u + -4) Reorder the terms: 8 = 8 + 3(-4 + 6u) 8 = 8 + (-4 * 3 + 6u * 3) 8 = 8 + (-12 + 18u) Combine like terms: 8 + -12 = -4 8 = -4 + 18u Solving 8 = -4 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. 8 + -18u = -4 + 18u + -18u Combine like terms: 18u + -18u = 0 8 + -18u = -4 + 0 8 + -18u = -4 Add '-8' to each side of the equation. 8 + -8 + -18u = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -18u = -4 + -8 -18u = -4 + -8 Combine like terms: -4 + -8 = -12 -18u = -12 Divide each side by '-18'. u = 0.6666666667 Simplifying u = 0.6666666667
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