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Simplifying 2(u + -9) + -9 = -6(-2u + 7) + -1u Reorder the terms: 2(-9 + u) + -9 = -6(-2u + 7) + -1u (-9 * 2 + u * 2) + -9 = -6(-2u + 7) + -1u (-18 + 2u) + -9 = -6(-2u + 7) + -1u Reorder the terms: -18 + -9 + 2u = -6(-2u + 7) + -1u Combine like terms: -18 + -9 = -27 -27 + 2u = -6(-2u + 7) + -1u Reorder the terms: -27 + 2u = -6(7 + -2u) + -1u -27 + 2u = (7 * -6 + -2u * -6) + -1u -27 + 2u = (-42 + 12u) + -1u Combine like terms: 12u + -1u = 11u -27 + 2u = -42 + 11u Solving -27 + 2u = -42 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -27 + 2u + -11u = -42 + 11u + -11u Combine like terms: 2u + -11u = -9u -27 + -9u = -42 + 11u + -11u Combine like terms: 11u + -11u = 0 -27 + -9u = -42 + 0 -27 + -9u = -42 Add '27' to each side of the equation. -27 + 27 + -9u = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -9u = -42 + 27 -9u = -42 + 27 Combine like terms: -42 + 27 = -15 -9u = -15 Divide each side by '-9'. u = 1.666666667 Simplifying u = 1.666666667
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