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Simplifying 7(u + -2) = 5u + -32 Reorder the terms: 7(-2 + u) = 5u + -32 (-2 * 7 + u * 7) = 5u + -32 (-14 + 7u) = 5u + -32 Reorder the terms: -14 + 7u = -32 + 5u Solving -14 + 7u = -32 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -14 + 7u + -5u = -32 + 5u + -5u Combine like terms: 7u + -5u = 2u -14 + 2u = -32 + 5u + -5u Combine like terms: 5u + -5u = 0 -14 + 2u = -32 + 0 -14 + 2u = -32 Add '14' to each side of the equation. -14 + 14 + 2u = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 2u = -32 + 14 2u = -32 + 14 Combine like terms: -32 + 14 = -18 2u = -18 Divide each side by '2'. u = -9 Simplifying u = -9
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