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Simplifying 4u + -7 = 3(3 + -1u) + -2 Reorder the terms: -7 + 4u = 3(3 + -1u) + -2 -7 + 4u = (3 * 3 + -1u * 3) + -2 -7 + 4u = (9 + -3u) + -2 Reorder the terms: -7 + 4u = 9 + -2 + -3u Combine like terms: 9 + -2 = 7 -7 + 4u = 7 + -3u Solving -7 + 4u = 7 + -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 + 4u + 3u = 7 + -3u + 3u Combine like terms: 4u + 3u = 7u -7 + 7u = 7 + -3u + 3u Combine like terms: -3u + 3u = 0 -7 + 7u = 7 + 0 -7 + 7u = 7 Add '7' to each side of the equation. -7 + 7 + 7u = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7u = 7 + 7 7u = 7 + 7 Combine like terms: 7 + 7 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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