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Simplifying 12 + -5u = 3u + 13 Reorder the terms: 12 + -5u = 13 + 3u Solving 12 + -5u = 13 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 12 + -5u + -3u = 13 + 3u + -3u Combine like terms: -5u + -3u = -8u 12 + -8u = 13 + 3u + -3u Combine like terms: 3u + -3u = 0 12 + -8u = 13 + 0 12 + -8u = 13 Add '-12' to each side of the equation. 12 + -12 + -8u = 13 + -12 Combine like terms: 12 + -12 = 0 0 + -8u = 13 + -12 -8u = 13 + -12 Combine like terms: 13 + -12 = 1 -8u = 1 Divide each side by '-8'. u = -0.125 Simplifying u = -0.125
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