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Simplifying 5(u + -4) + -9 = -5(-2u + 7) + -1u Reorder the terms: 5(-4 + u) + -9 = -5(-2u + 7) + -1u (-4 * 5 + u * 5) + -9 = -5(-2u + 7) + -1u (-20 + 5u) + -9 = -5(-2u + 7) + -1u Reorder the terms: -20 + -9 + 5u = -5(-2u + 7) + -1u Combine like terms: -20 + -9 = -29 -29 + 5u = -5(-2u + 7) + -1u Reorder the terms: -29 + 5u = -5(7 + -2u) + -1u -29 + 5u = (7 * -5 + -2u * -5) + -1u -29 + 5u = (-35 + 10u) + -1u Combine like terms: 10u + -1u = 9u -29 + 5u = -35 + 9u Solving -29 + 5u = -35 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -29 + 5u + -9u = -35 + 9u + -9u Combine like terms: 5u + -9u = -4u -29 + -4u = -35 + 9u + -9u Combine like terms: 9u + -9u = 0 -29 + -4u = -35 + 0 -29 + -4u = -35 Add '29' to each side of the equation. -29 + 29 + -4u = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -4u = -35 + 29 -4u = -35 + 29 Combine like terms: -35 + 29 = -6 -4u = -6 Divide each side by '-4'. u = 1.5 Simplifying u = 1.5
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