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Simplifying -18u + 24 + 9u = 7u + 42 Reorder the terms: 24 + -18u + 9u = 7u + 42 Combine like terms: -18u + 9u = -9u 24 + -9u = 7u + 42 Reorder the terms: 24 + -9u = 42 + 7u Solving 24 + -9u = 42 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 24 + -9u + -7u = 42 + 7u + -7u Combine like terms: -9u + -7u = -16u 24 + -16u = 42 + 7u + -7u Combine like terms: 7u + -7u = 0 24 + -16u = 42 + 0 24 + -16u = 42 Add '-24' to each side of the equation. 24 + -24 + -16u = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -16u = 42 + -24 -16u = 42 + -24 Combine like terms: 42 + -24 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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