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Simplifying -9(u + 2) = 7u + 46 Reorder the terms: -9(2 + u) = 7u + 46 (2 * -9 + u * -9) = 7u + 46 (-18 + -9u) = 7u + 46 Reorder the terms: -18 + -9u = 46 + 7u Solving -18 + -9u = 46 + 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. -18 + -9u + -7u = 46 + 7u + -7u Combine like terms: -9u + -7u = -16u -18 + -16u = 46 + 7u + -7u Combine like terms: 7u + -7u = 0 -18 + -16u = 46 + 0 -18 + -16u = 46 Add '18' to each side of the equation. -18 + 18 + -16u = 46 + 18 Combine like terms: -18 + 18 = 0 0 + -16u = 46 + 18 -16u = 46 + 18 Combine like terms: 46 + 18 = 64 -16u = 64 Divide each side by '-16'. u = -4 Simplifying u = -4
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