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Simplifying -31 = 5(u + -8) + -8u Reorder the terms: -31 = 5(-8 + u) + -8u -31 = (-8 * 5 + u * 5) + -8u -31 = (-40 + 5u) + -8u Combine like terms: 5u + -8u = -3u -31 = -40 + -3u Solving -31 = -40 + -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. -31 + 3u = -40 + -3u + 3u Combine like terms: -3u + 3u = 0 -31 + 3u = -40 + 0 -31 + 3u = -40 Add '31' to each side of the equation. -31 + 31 + 3u = -40 + 31 Combine like terms: -31 + 31 = 0 0 + 3u = -40 + 31 3u = -40 + 31 Combine like terms: -40 + 31 = -9 3u = -9 Divide each side by '3'. u = -3 Simplifying u = -3
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