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Simplifying 3u + -5 = 4(3 + -1u) + -3 Reorder the terms: -5 + 3u = 4(3 + -1u) + -3 -5 + 3u = (3 * 4 + -1u * 4) + -3 -5 + 3u = (12 + -4u) + -3 Reorder the terms: -5 + 3u = 12 + -3 + -4u Combine like terms: 12 + -3 = 9 -5 + 3u = 9 + -4u Solving -5 + 3u = 9 + -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. -5 + 3u + 4u = 9 + -4u + 4u Combine like terms: 3u + 4u = 7u -5 + 7u = 9 + -4u + 4u Combine like terms: -4u + 4u = 0 -5 + 7u = 9 + 0 -5 + 7u = 9 Add '5' to each side of the equation. -5 + 5 + 7u = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7u = 9 + 5 7u = 9 + 5 Combine like terms: 9 + 5 = 14 7u = 14 Divide each side by '7'. u = 2 Simplifying u = 2
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