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Simplifying 8u + -13 = 5(u + -5) Reorder the terms: -13 + 8u = 5(u + -5) Reorder the terms: -13 + 8u = 5(-5 + u) -13 + 8u = (-5 * 5 + u * 5) -13 + 8u = (-25 + 5u) Solving -13 + 8u = -25 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -13 + 8u + -5u = -25 + 5u + -5u Combine like terms: 8u + -5u = 3u -13 + 3u = -25 + 5u + -5u Combine like terms: 5u + -5u = 0 -13 + 3u = -25 + 0 -13 + 3u = -25 Add '13' to each side of the equation. -13 + 13 + 3u = -25 + 13 Combine like terms: -13 + 13 = 0 0 + 3u = -25 + 13 3u = -25 + 13 Combine like terms: -25 + 13 = -12 3u = -12 Divide each side by '3'. u = -4 Simplifying u = -4
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