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Simplifying 13 + 2(1 + -1u) = 8u + -5(u + 7) 13 + (1 * 2 + -1u * 2) = 8u + -5(u + 7) 13 + (2 + -2u) = 8u + -5(u + 7) Combine like terms: 13 + 2 = 15 15 + -2u = 8u + -5(u + 7) Reorder the terms: 15 + -2u = 8u + -5(7 + u) 15 + -2u = 8u + (7 * -5 + u * -5) 15 + -2u = 8u + (-35 + -5u) Reorder the terms: 15 + -2u = -35 + 8u + -5u Combine like terms: 8u + -5u = 3u 15 + -2u = -35 + 3u Solving 15 + -2u = -35 + 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. 15 + -2u + -3u = -35 + 3u + -3u Combine like terms: -2u + -3u = -5u 15 + -5u = -35 + 3u + -3u Combine like terms: 3u + -3u = 0 15 + -5u = -35 + 0 15 + -5u = -35 Add '-15' to each side of the equation. 15 + -15 + -5u = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -5u = -35 + -15 -5u = -35 + -15 Combine like terms: -35 + -15 = -50 -5u = -50 Divide each side by '-5'. u = 10 Simplifying u = 10
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