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Simplifying 5(u + -7) = 8u + -14 Reorder the terms: 5(-7 + u) = 8u + -14 (-7 * 5 + u * 5) = 8u + -14 (-35 + 5u) = 8u + -14 Reorder the terms: -35 + 5u = -14 + 8u Solving -35 + 5u = -14 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -35 + 5u + -8u = -14 + 8u + -8u Combine like terms: 5u + -8u = -3u -35 + -3u = -14 + 8u + -8u Combine like terms: 8u + -8u = 0 -35 + -3u = -14 + 0 -35 + -3u = -14 Add '35' to each side of the equation. -35 + 35 + -3u = -14 + 35 Combine like terms: -35 + 35 = 0 0 + -3u = -14 + 35 -3u = -14 + 35 Combine like terms: -14 + 35 = 21 -3u = 21 Divide each side by '-3'. u = -7 Simplifying u = -7
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