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Simplifying 3u + -2 = 4(4 + -1u) + -4 Reorder the terms: -2 + 3u = 4(4 + -1u) + -4 -2 + 3u = (4 * 4 + -1u * 4) + -4 -2 + 3u = (16 + -4u) + -4 Reorder the terms: -2 + 3u = 16 + -4 + -4u Combine like terms: 16 + -4 = 12 -2 + 3u = 12 + -4u Solving -2 + 3u = 12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -2 + 3u + 4u = 12 + -4u + 4u Combine like terms: 3u + 4u = 7u -2 + 7u = 12 + -4u + 4u Combine like terms: -4u + 4u = 0 -2 + 7u = 12 + 0 -2 + 7u = 12 Add '2' to each side of the equation. -2 + 2 + 7u = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7u = 12 + 2 7u = 12 + 2 Combine like terms: 12 + 2 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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