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Simplifying 5(u + -5) + -6 = -3(-8u + 7) + -3u Reorder the terms: 5(-5 + u) + -6 = -3(-8u + 7) + -3u (-5 * 5 + u * 5) + -6 = -3(-8u + 7) + -3u (-25 + 5u) + -6 = -3(-8u + 7) + -3u Reorder the terms: -25 + -6 + 5u = -3(-8u + 7) + -3u Combine like terms: -25 + -6 = -31 -31 + 5u = -3(-8u + 7) + -3u Reorder the terms: -31 + 5u = -3(7 + -8u) + -3u -31 + 5u = (7 * -3 + -8u * -3) + -3u -31 + 5u = (-21 + 24u) + -3u Combine like terms: 24u + -3u = 21u -31 + 5u = -21 + 21u Solving -31 + 5u = -21 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -31 + 5u + -21u = -21 + 21u + -21u Combine like terms: 5u + -21u = -16u -31 + -16u = -21 + 21u + -21u Combine like terms: 21u + -21u = 0 -31 + -16u = -21 + 0 -31 + -16u = -21 Add '31' to each side of the equation. -31 + 31 + -16u = -21 + 31 Combine like terms: -31 + 31 = 0 0 + -16u = -21 + 31 -16u = -21 + 31 Combine like terms: -21 + 31 = 10 -16u = 10 Divide each side by '-16'. u = -0.625 Simplifying u = -0.625
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