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Simplifying 5(u + -4) + -3 = -3(-8u + 7) + -3u Reorder the terms: 5(-4 + u) + -3 = -3(-8u + 7) + -3u (-4 * 5 + u * 5) + -3 = -3(-8u + 7) + -3u (-20 + 5u) + -3 = -3(-8u + 7) + -3u Reorder the terms: -20 + -3 + 5u = -3(-8u + 7) + -3u Combine like terms: -20 + -3 = -23 -23 + 5u = -3(-8u + 7) + -3u Reorder the terms: -23 + 5u = -3(7 + -8u) + -3u -23 + 5u = (7 * -3 + -8u * -3) + -3u -23 + 5u = (-21 + 24u) + -3u Combine like terms: 24u + -3u = 21u -23 + 5u = -21 + 21u Solving -23 + 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. -23 + 5u + -21u = -21 + 21u + -21u Combine like terms: 5u + -21u = -16u -23 + -16u = -21 + 21u + -21u Combine like terms: 21u + -21u = 0 -23 + -16u = -21 + 0 -23 + -16u = -21 Add '23' to each side of the equation. -23 + 23 + -16u = -21 + 23 Combine like terms: -23 + 23 = 0 0 + -16u = -21 + 23 -16u = -21 + 23 Combine like terms: -21 + 23 = 2 -16u = 2 Divide each side by '-16'. u = -0.125 Simplifying u = -0.125
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