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Simplifying -23 = -8u + 3(u + 4) Reorder the terms: -23 = -8u + 3(4 + u) -23 = -8u + (4 * 3 + u * 3) -23 = -8u + (12 + 3u) Reorder the terms: -23 = 12 + -8u + 3u Combine like terms: -8u + 3u = -5u -23 = 12 + -5u Solving -23 = 12 + -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. -23 + 5u = 12 + -5u + 5u Combine like terms: -5u + 5u = 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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