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Simplifying 7(u + -1) = 4u + 8 Reorder the terms: 7(-1 + u) = 4u + 8 (-1 * 7 + u * 7) = 4u + 8 (-7 + 7u) = 4u + 8 Reorder the terms: -7 + 7u = 8 + 4u Solving -7 + 7u = 8 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -7 + 7u + -4u = 8 + 4u + -4u Combine like terms: 7u + -4u = 3u -7 + 3u = 8 + 4u + -4u Combine like terms: 4u + -4u = 0 -7 + 3u = 8 + 0 -7 + 3u = 8 Add '7' to each side of the equation. -7 + 7 + 3u = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3u = 8 + 7 3u = 8 + 7 Combine like terms: 8 + 7 = 15 3u = 15 Divide each side by '3'. u = 5 Simplifying u = 5
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