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Simplifying -2(u + 5) = -9u + 46 Reorder the terms: -2(5 + u) = -9u + 46 (5 * -2 + u * -2) = -9u + 46 (-10 + -2u) = -9u + 46 Reorder the terms: -10 + -2u = 46 + -9u Solving -10 + -2u = 46 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. -10 + -2u + 9u = 46 + -9u + 9u Combine like terms: -2u + 9u = 7u -10 + 7u = 46 + -9u + 9u Combine like terms: -9u + 9u = 0 -10 + 7u = 46 + 0 -10 + 7u = 46 Add '10' to each side of the equation. -10 + 10 + 7u = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 7u = 46 + 10 7u = 46 + 10 Combine like terms: 46 + 10 = 56 7u = 56 Divide each side by '7'. u = 8 Simplifying u = 8
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