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Simplifying -3u + 23 = 2(u + -6) Reorder the terms: 23 + -3u = 2(u + -6) Reorder the terms: 23 + -3u = 2(-6 + u) 23 + -3u = (-6 * 2 + u * 2) 23 + -3u = (-12 + 2u) Solving 23 + -3u = -12 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 23 + -3u + -2u = -12 + 2u + -2u Combine like terms: -3u + -2u = -5u 23 + -5u = -12 + 2u + -2u Combine like terms: 2u + -2u = 0 23 + -5u = -12 + 0 23 + -5u = -12 Add '-23' to each side of the equation. 23 + -23 + -5u = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5u = -12 + -23 -5u = -12 + -23 Combine like terms: -12 + -23 = -35 -5u = -35 Divide each side by '-5'. u = 7 Simplifying u = 7
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