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