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Simplifying 2(u + -1) + -9 = -5(-4u + 5) + -2u Reorder the terms: 2(-1 + u) + -9 = -5(-4u + 5) + -2u (-1 * 2 + u * 2) + -9 = -5(-4u + 5) + -2u (-2 + 2u) + -9 = -5(-4u + 5) + -2u Reorder the terms: -2 + -9 + 2u = -5(-4u + 5) + -2u Combine like terms: -2 + -9 = -11 -11 + 2u = -5(-4u + 5) + -2u Reorder the terms: -11 + 2u = -5(5 + -4u) + -2u -11 + 2u = (5 * -5 + -4u * -5) + -2u -11 + 2u = (-25 + 20u) + -2u Combine like terms: 20u + -2u = 18u -11 + 2u = -25 + 18u Solving -11 + 2u = -25 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -11 + 2u + -18u = -25 + 18u + -18u Combine like terms: 2u + -18u = -16u -11 + -16u = -25 + 18u + -18u Combine like terms: 18u + -18u = 0 -11 + -16u = -25 + 0 -11 + -16u = -25 Add '11' to each side of the equation. -11 + 11 + -16u = -25 + 11 Combine like terms: -11 + 11 = 0 0 + -16u = -25 + 11 -16u = -25 + 11 Combine like terms: -25 + 11 = -14 -16u = -14 Divide each side by '-16'. u = 0.875 Simplifying u = 0.875
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