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Simplifying 2(u + -1) + 4u = 3(u + 1) + 7 Reorder the terms: 2(-1 + u) + 4u = 3(u + 1) + 7 (-1 * 2 + u * 2) + 4u = 3(u + 1) + 7 (-2 + 2u) + 4u = 3(u + 1) + 7 Combine like terms: 2u + 4u = 6u -2 + 6u = 3(u + 1) + 7 Reorder the terms: -2 + 6u = 3(1 + u) + 7 -2 + 6u = (1 * 3 + u * 3) + 7 -2 + 6u = (3 + 3u) + 7 Reorder the terms: -2 + 6u = 3 + 7 + 3u Combine like terms: 3 + 7 = 10 -2 + 6u = 10 + 3u Solving -2 + 6u = 10 + 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 + 6u + -3u = 10 + 3u + -3u Combine like terms: 6u + -3u = 3u -2 + 3u = 10 + 3u + -3u Combine like terms: 3u + -3u = 0 -2 + 3u = 10 + 0 -2 + 3u = 10 Add '2' to each side of the equation. -2 + 2 + 3u = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3u = 10 + 2 3u = 10 + 2 Combine like terms: 10 + 2 = 12 3u = 12 Divide each side by '3'. u = 4 Simplifying u = 4
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