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Simplifying -23 = 8(u + 2) + 5u Reorder the terms: -23 = 8(2 + u) + 5u -23 = (2 * 8 + u * 8) + 5u -23 = (16 + 8u) + 5u Combine like terms: 8u + 5u = 13u -23 = 16 + 13u Solving -23 = 16 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -23 + -13u = 16 + 13u + -13u Combine like terms: 13u + -13u = 0 -23 + -13u = 16 + 0 -23 + -13u = 16 Add '23' to each side of the equation. -23 + 23 + -13u = 16 + 23 Combine like terms: -23 + 23 = 0 0 + -13u = 16 + 23 -13u = 16 + 23 Combine like terms: 16 + 23 = 39 -13u = 39 Divide each side by '-13'. u = -3 Simplifying u = -3
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