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Simplifying 10u = 7 + 8(2u + -4) + -9 Reorder the terms: 10u = 7 + 8(-4 + 2u) + -9 10u = 7 + (-4 * 8 + 2u * 8) + -9 10u = 7 + (-32 + 16u) + -9 Reorder the terms: 10u = 7 + -32 + -9 + 16u Combine like terms: 7 + -32 = -25 10u = -25 + -9 + 16u Combine like terms: -25 + -9 = -34 10u = -34 + 16u Solving 10u = -34 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. 10u + -16u = -34 + 16u + -16u Combine like terms: 10u + -16u = -6u -6u = -34 + 16u + -16u Combine like terms: 16u + -16u = 0 -6u = -34 + 0 -6u = -34 Divide each side by '-6'. u = 5.666666667 Simplifying u = 5.666666667
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