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Simplifying -2(7u + -9) + 6u = 8 + 4(2u + -1) Reorder the terms: -2(-9 + 7u) + 6u = 8 + 4(2u + -1) (-9 * -2 + 7u * -2) + 6u = 8 + 4(2u + -1) (18 + -14u) + 6u = 8 + 4(2u + -1) Combine like terms: -14u + 6u = -8u 18 + -8u = 8 + 4(2u + -1) Reorder the terms: 18 + -8u = 8 + 4(-1 + 2u) 18 + -8u = 8 + (-1 * 4 + 2u * 4) 18 + -8u = 8 + (-4 + 8u) Combine like terms: 8 + -4 = 4 18 + -8u = 4 + 8u Solving 18 + -8u = 4 + 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. 18 + -8u + -8u = 4 + 8u + -8u Combine like terms: -8u + -8u = -16u 18 + -16u = 4 + 8u + -8u Combine like terms: 8u + -8u = 0 18 + -16u = 4 + 0 18 + -16u = 4 Add '-18' to each side of the equation. 18 + -18 + -16u = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -16u = 4 + -18 -16u = 4 + -18 Combine like terms: 4 + -18 = -14 -16u = -14 Divide each side by '-16'. u = 0.875 Simplifying u = 0.875
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