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Simplifying 2u + -2 = 3(4 + -1u) + -4 Reorder the terms: -2 + 2u = 3(4 + -1u) + -4 -2 + 2u = (4 * 3 + -1u * 3) + -4 -2 + 2u = (12 + -3u) + -4 Reorder the terms: -2 + 2u = 12 + -4 + -3u Combine like terms: 12 + -4 = 8 -2 + 2u = 8 + -3u Solving -2 + 2u = 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. -2 + 2u + 3u = 8 + -3u + 3u Combine like terms: 2u + 3u = 5u -2 + 5u = 8 + -3u + 3u Combine like terms: -3u + 3u = 0 -2 + 5u = 8 + 0 -2 + 5u = 8 Add '2' to each side of the equation. -2 + 2 + 5u = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5u = 8 + 2 5u = 8 + 2 Combine like terms: 8 + 2 = 10 5u = 10 Divide each side by '5'. u = 2 Simplifying u = 2
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