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Simplifying -5(u + -7) = 3u + -5 Reorder the terms: -5(-7 + u) = 3u + -5 (-7 * -5 + u * -5) = 3u + -5 (35 + -5u) = 3u + -5 Reorder the terms: 35 + -5u = -5 + 3u Solving 35 + -5u = -5 + 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. 35 + -5u + -3u = -5 + 3u + -3u Combine like terms: -5u + -3u = -8u 35 + -8u = -5 + 3u + -3u Combine like terms: 3u + -3u = 0 35 + -8u = -5 + 0 35 + -8u = -5 Add '-35' to each side of the equation. 35 + -35 + -8u = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -8u = -5 + -35 -8u = -5 + -35 Combine like terms: -5 + -35 = -40 -8u = -40 Divide each side by '-8'. u = 5 Simplifying u = 5
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