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Simplifying 3u + -8 = 5(2 + -1u) + -2 Reorder the terms: -8 + 3u = 5(2 + -1u) + -2 -8 + 3u = (2 * 5 + -1u * 5) + -2 -8 + 3u = (10 + -5u) + -2 Reorder the terms: -8 + 3u = 10 + -2 + -5u Combine like terms: 10 + -2 = 8 -8 + 3u = 8 + -5u Solving -8 + 3u = 8 + -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. -8 + 3u + 5u = 8 + -5u + 5u Combine like terms: 3u + 5u = 8u -8 + 8u = 8 + -5u + 5u Combine like terms: -5u + 5u = 0 -8 + 8u = 8 + 0 -8 + 8u = 8 Add '8' to each side of the equation. -8 + 8 + 8u = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8u = 8 + 8 8u = 8 + 8 Combine like terms: 8 + 8 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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