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Simplifying 5(u + 1) + -7 = 3(u + 4) + 7 Reorder the terms: 5(1 + u) + -7 = 3(u + 4) + 7 (1 * 5 + u * 5) + -7 = 3(u + 4) + 7 (5 + 5u) + -7 = 3(u + 4) + 7 Reorder the terms: 5 + -7 + 5u = 3(u + 4) + 7 Combine like terms: 5 + -7 = -2 -2 + 5u = 3(u + 4) + 7 Reorder the terms: -2 + 5u = 3(4 + u) + 7 -2 + 5u = (4 * 3 + u * 3) + 7 -2 + 5u = (12 + 3u) + 7 Reorder the terms: -2 + 5u = 12 + 7 + 3u Combine like terms: 12 + 7 = 19 -2 + 5u = 19 + 3u Solving -2 + 5u = 19 + 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. -2 + 5u + -3u = 19 + 3u + -3u Combine like terms: 5u + -3u = 2u -2 + 2u = 19 + 3u + -3u Combine like terms: 3u + -3u = 0 -2 + 2u = 19 + 0 -2 + 2u = 19 Add '2' to each side of the equation. -2 + 2 + 2u = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 2u = 19 + 2 2u = 19 + 2 Combine like terms: 19 + 2 = 21 2u = 21 Divide each side by '2'. u = 10.5 Simplifying u = 10.5
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