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Simplifying 32 = 5(u + -2) + 2u Reorder the terms: 32 = 5(-2 + u) + 2u 32 = (-2 * 5 + u * 5) + 2u 32 = (-10 + 5u) + 2u Combine like terms: 5u + 2u = 7u 32 = -10 + 7u Solving 32 = -10 + 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. 32 + -7u = -10 + 7u + -7u Combine like terms: 7u + -7u = 0 32 + -7u = -10 + 0 32 + -7u = -10 Add '-32' to each side of the equation. 32 + -32 + -7u = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7u = -10 + -32 -7u = -10 + -32 Combine like terms: -10 + -32 = -42 -7u = -42 Divide each side by '-7'. u = 6 Simplifying u = 6
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