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Simplifying 3u = 7[u + -8] + -12 + 56 Reorder the terms: 3u = 7[-8 + u] + -12 + 56 3u = [-8 * 7 + u * 7] + -12 + 56 3u = [-56 + 7u] + -12 + 56 Reorder the terms: 3u = -56 + -12 + 56 + 7u Combine like terms: -56 + -12 = -68 3u = -68 + 56 + 7u Combine like terms: -68 + 56 = -12 3u = -12 + 7u Solving 3u = -12 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 3u + -7u = -12 + 7u + -7u Combine like terms: 3u + -7u = -4u -4u = -12 + 7u + -7u Combine like terms: 7u + -7u = 0 -4u = -12 + 0 -4u = -12 Divide each side by '-4'. u = 3 Simplifying u = 3
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