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Simplifying -5u + 32 = -7(u + -2) Reorder the terms: 32 + -5u = -7(u + -2) Reorder the terms: 32 + -5u = -7(-2 + u) 32 + -5u = (-2 * -7 + u * -7) 32 + -5u = (14 + -7u) Solving 32 + -5u = 14 + -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 + -5u + 7u = 14 + -7u + 7u Combine like terms: -5u + 7u = 2u 32 + 2u = 14 + -7u + 7u Combine like terms: -7u + 7u = 0 32 + 2u = 14 + 0 32 + 2u = 14 Add '-32' to each side of the equation. 32 + -32 + 2u = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 14 + -32 2u = 14 + -32 Combine like terms: 14 + -32 = -18 2u = -18 Divide each side by '2'. u = -9 Simplifying u = -9
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