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Simplifying 5(u + -8) + -4 = -6(-2 + 9) + -3u Reorder the terms: 5(-8 + u) + -4 = -6(-2 + 9) + -3u (-8 * 5 + u * 5) + -4 = -6(-2 + 9) + -3u (-40 + 5u) + -4 = -6(-2 + 9) + -3u Reorder the terms: -40 + -4 + 5u = -6(-2 + 9) + -3u Combine like terms: -40 + -4 = -44 -44 + 5u = -6(-2 + 9) + -3u Combine like terms: -2 + 9 = 7 -44 + 5u = -6(7) + -3u Multiply -6 * 7 -44 + 5u = -42 + -3u Solving -44 + 5u = -42 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -44 + 5u + 3u = -42 + -3u + 3u Combine like terms: 5u + 3u = 8u -44 + 8u = -42 + -3u + 3u Combine like terms: -3u + 3u = 0 -44 + 8u = -42 + 0 -44 + 8u = -42 Add '44' to each side of the equation. -44 + 44 + 8u = -42 + 44 Combine like terms: -44 + 44 = 0 0 + 8u = -42 + 44 8u = -42 + 44 Combine like terms: -42 + 44 = 2 8u = 2 Divide each side by '8'. u = 0.25 Simplifying u = 0.25
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