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Simplifying 5(u + -8) + -5 = -3(-8u + 9) + -3u Reorder the terms: 5(-8 + u) + -5 = -3(-8u + 9) + -3u (-8 * 5 + u * 5) + -5 = -3(-8u + 9) + -3u (-40 + 5u) + -5 = -3(-8u + 9) + -3u Reorder the terms: -40 + -5 + 5u = -3(-8u + 9) + -3u Combine like terms: -40 + -5 = -45 -45 + 5u = -3(-8u + 9) + -3u Reorder the terms: -45 + 5u = -3(9 + -8u) + -3u -45 + 5u = (9 * -3 + -8u * -3) + -3u -45 + 5u = (-27 + 24u) + -3u Combine like terms: 24u + -3u = 21u -45 + 5u = -27 + 21u Solving -45 + 5u = -27 + 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. -45 + 5u + -21u = -27 + 21u + -21u Combine like terms: 5u + -21u = -16u -45 + -16u = -27 + 21u + -21u Combine like terms: 21u + -21u = 0 -45 + -16u = -27 + 0 -45 + -16u = -27 Add '45' to each side of the equation. -45 + 45 + -16u = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -16u = -27 + 45 -16u = -27 + 45 Combine like terms: -27 + 45 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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