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Simplifying 2(u + -9) + -6 = -4(-4u + 9) + -5u Reorder the terms: 2(-9 + u) + -6 = -4(-4u + 9) + -5u (-9 * 2 + u * 2) + -6 = -4(-4u + 9) + -5u (-18 + 2u) + -6 = -4(-4u + 9) + -5u Reorder the terms: -18 + -6 + 2u = -4(-4u + 9) + -5u Combine like terms: -18 + -6 = -24 -24 + 2u = -4(-4u + 9) + -5u Reorder the terms: -24 + 2u = -4(9 + -4u) + -5u -24 + 2u = (9 * -4 + -4u * -4) + -5u -24 + 2u = (-36 + 16u) + -5u Combine like terms: 16u + -5u = 11u -24 + 2u = -36 + 11u Solving -24 + 2u = -36 + 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. -24 + 2u + -11u = -36 + 11u + -11u Combine like terms: 2u + -11u = -9u -24 + -9u = -36 + 11u + -11u Combine like terms: 11u + -11u = 0 -24 + -9u = -36 + 0 -24 + -9u = -36 Add '24' to each side of the equation. -24 + 24 + -9u = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -9u = -36 + 24 -9u = -36 + 24 Combine like terms: -36 + 24 = -12 -9u = -12 Divide each side by '-9'. u = 1.333333333 Simplifying u = 1.333333333
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