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Simplifying 4(u + -8) + -9 = -5(-6u + 5) + -8u Reorder the terms: 4(-8 + u) + -9 = -5(-6u + 5) + -8u (-8 * 4 + u * 4) + -9 = -5(-6u + 5) + -8u (-32 + 4u) + -9 = -5(-6u + 5) + -8u Reorder the terms: -32 + -9 + 4u = -5(-6u + 5) + -8u Combine like terms: -32 + -9 = -41 -41 + 4u = -5(-6u + 5) + -8u Reorder the terms: -41 + 4u = -5(5 + -6u) + -8u -41 + 4u = (5 * -5 + -6u * -5) + -8u -41 + 4u = (-25 + 30u) + -8u Combine like terms: 30u + -8u = 22u -41 + 4u = -25 + 22u Solving -41 + 4u = -25 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -41 + 4u + -22u = -25 + 22u + -22u Combine like terms: 4u + -22u = -18u -41 + -18u = -25 + 22u + -22u Combine like terms: 22u + -22u = 0 -41 + -18u = -25 + 0 -41 + -18u = -25 Add '41' to each side of the equation. -41 + 41 + -18u = -25 + 41 Combine like terms: -41 + 41 = 0 0 + -18u = -25 + 41 -18u = -25 + 41 Combine like terms: -25 + 41 = 16 -18u = 16 Divide each side by '-18'. u = -0.8888888889 Simplifying u = -0.8888888889
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