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Simplifying 7[u + -8] = 3[u + 4] Reorder the terms: 7[-8 + u] = 3[u + 4] [-8 * 7 + u * 7] = 3[u + 4] [-56 + 7u] = 3[u + 4] Reorder the terms: -56 + 7u = 3[4 + u] -56 + 7u = [4 * 3 + u * 3] -56 + 7u = [12 + 3u] Solving -56 + 7u = 12 + 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. -56 + 7u + -3u = 12 + 3u + -3u Combine like terms: 7u + -3u = 4u -56 + 4u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 -56 + 4u = 12 + 0 -56 + 4u = 12 Add '56' to each side of the equation. -56 + 56 + 4u = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 4u = 12 + 56 4u = 12 + 56 Combine like terms: 12 + 56 = 68 4u = 68 Divide each side by '4'. u = 17 Simplifying u = 17
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