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Simplifying 3u + -2 = 5(3 + -1u) + -1 Reorder the terms: -2 + 3u = 5(3 + -1u) + -1 -2 + 3u = (3 * 5 + -1u * 5) + -1 -2 + 3u = (15 + -5u) + -1 Reorder the terms: -2 + 3u = 15 + -1 + -5u Combine like terms: 15 + -1 = 14 -2 + 3u = 14 + -5u Solving -2 + 3u = 14 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -2 + 3u + 5u = 14 + -5u + 5u Combine like terms: 3u + 5u = 8u -2 + 8u = 14 + -5u + 5u Combine like terms: -5u + 5u = 0 -2 + 8u = 14 + 0 -2 + 8u = 14 Add '2' to each side of the equation. -2 + 2 + 8u = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8u = 14 + 2 8u = 14 + 2 Combine like terms: 14 + 2 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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