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Simplifying u2 + -13u + 42 = u2 + -8u + 16 Reorder the terms: 42 + -13u + u2 = u2 + -8u + 16 Reorder the terms: 42 + -13u + u2 = 16 + -8u + u2 Add '-1u2' to each side of the equation. 42 + -13u + u2 + -1u2 = 16 + -8u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 42 + -13u + 0 = 16 + -8u + u2 + -1u2 42 + -13u = 16 + -8u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 42 + -13u = 16 + -8u + 0 42 + -13u = 16 + -8u Solving 42 + -13u = 16 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 42 + -13u + 8u = 16 + -8u + 8u Combine like terms: -13u + 8u = -5u 42 + -5u = 16 + -8u + 8u Combine like terms: -8u + 8u = 0 42 + -5u = 16 + 0 42 + -5u = 16 Add '-42' to each side of the equation. 42 + -42 + -5u = 16 + -42 Combine like terms: 42 + -42 = 0 0 + -5u = 16 + -42 -5u = 16 + -42 Combine like terms: 16 + -42 = -26 -5u = -26 Divide each side by '-5'. u = 5.2 Simplifying u = 5.2
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