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Simplifying 4u + -6 = 3(4 + -1u) + -4 Reorder the terms: -6 + 4u = 3(4 + -1u) + -4 -6 + 4u = (4 * 3 + -1u * 3) + -4 -6 + 4u = (12 + -3u) + -4 Reorder the terms: -6 + 4u = 12 + -4 + -3u Combine like terms: 12 + -4 = 8 -6 + 4u = 8 + -3u Solving -6 + 4u = 8 + -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. -6 + 4u + 3u = 8 + -3u + 3u Combine like terms: 4u + 3u = 7u -6 + 7u = 8 + -3u + 3u Combine like terms: -3u + 3u = 0 -6 + 7u = 8 + 0 -6 + 7u = 8 Add '6' to each side of the equation. -6 + 6 + 7u = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7u = 8 + 6 7u = 8 + 6 Combine like terms: 8 + 6 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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