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Simplifying -5u + 8(u + -5) = -19 Reorder the terms: -5u + 8(-5 + u) = -19 -5u + (-5 * 8 + u * 8) = -19 -5u + (-40 + 8u) = -19 Reorder the terms: -40 + -5u + 8u = -19 Combine like terms: -5u + 8u = 3u -40 + 3u = -19 Solving -40 + 3u = -19 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3u = -19 + 40 Combine like terms: -40 + 40 = 0 0 + 3u = -19 + 40 3u = -19 + 40 Combine like terms: -19 + 40 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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