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Simplifying 2(-4u + 1) = 8u + -9 Reorder the terms: 2(1 + -4u) = 8u + -9 (1 * 2 + -4u * 2) = 8u + -9 (2 + -8u) = 8u + -9 Reorder the terms: 2 + -8u = -9 + 8u Solving 2 + -8u = -9 + 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. 2 + -8u + -8u = -9 + 8u + -8u Combine like terms: -8u + -8u = -16u 2 + -16u = -9 + 8u + -8u Combine like terms: 8u + -8u = 0 2 + -16u = -9 + 0 2 + -16u = -9 Add '-2' to each side of the equation. 2 + -2 + -16u = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -16u = -9 + -2 -16u = -9 + -2 Combine like terms: -9 + -2 = -11 -16u = -11 Divide each side by '-16'. u = 0.6875 Simplifying u = 0.6875
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