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Simplifying 7u + 23 = 4u + 8u + -22 Reorder the terms: 23 + 7u = 4u + 8u + -22 Reorder the terms: 23 + 7u = -22 + 4u + 8u Combine like terms: 4u + 8u = 12u 23 + 7u = -22 + 12u Solving 23 + 7u = -22 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 23 + 7u + -12u = -22 + 12u + -12u Combine like terms: 7u + -12u = -5u 23 + -5u = -22 + 12u + -12u Combine like terms: 12u + -12u = 0 23 + -5u = -22 + 0 23 + -5u = -22 Add '-23' to each side of the equation. 23 + -23 + -5u = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -5u = -22 + -23 -5u = -22 + -23 Combine like terms: -22 + -23 = -45 -5u = -45 Divide each side by '-5'. u = 9 Simplifying u = 9
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