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Simplifying 3u + -3 = 5(3 + -1u) + -2 Reorder the terms: -3 + 3u = 5(3 + -1u) + -2 -3 + 3u = (3 * 5 + -1u * 5) + -2 -3 + 3u = (15 + -5u) + -2 Reorder the terms: -3 + 3u = 15 + -2 + -5u Combine like terms: 15 + -2 = 13 -3 + 3u = 13 + -5u Solving -3 + 3u = 13 + -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. -3 + 3u + 5u = 13 + -5u + 5u Combine like terms: 3u + 5u = 8u -3 + 8u = 13 + -5u + 5u Combine like terms: -5u + 5u = 0 -3 + 8u = 13 + 0 -3 + 8u = 13 Add '3' to each side of the equation. -3 + 3 + 8u = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8u = 13 + 3 8u = 13 + 3 Combine like terms: 13 + 3 = 16 8u = 16 Divide each side by '8'. u = 2 Simplifying u = 2
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