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