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Simplifying 7(u + -1) = 3(u + 7) Reorder the terms: 7(-1 + u) = 3(u + 7) (-1 * 7 + u * 7) = 3(u + 7) (-7 + 7u) = 3(u + 7) Reorder the terms: -7 + 7u = 3(7 + u) -7 + 7u = (7 * 3 + u * 3) -7 + 7u = (21 + 3u) Solving -7 + 7u = 21 + 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 + 7u + -3u = 21 + 3u + -3u Combine like terms: 7u + -3u = 4u -7 + 4u = 21 + 3u + -3u Combine like terms: 3u + -3u = 0 -7 + 4u = 21 + 0 -7 + 4u = 21 Add '7' to each side of the equation. -7 + 7 + 4u = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4u = 21 + 7 4u = 21 + 7 Combine like terms: 21 + 7 = 28 4u = 28 Divide each side by '4'. u = 7 Simplifying u = 7
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