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Simplifying 32 = -6u + 4(u + 4) Reorder the terms: 32 = -6u + 4(4 + u) 32 = -6u + (4 * 4 + u * 4) 32 = -6u + (16 + 4u) Reorder the terms: 32 = 16 + -6u + 4u Combine like terms: -6u + 4u = -2u 32 = 16 + -2u Solving 32 = 16 + -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 + 2u = 16 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 2u = 16 + 0 32 + 2u = 16 Add '-32' to each side of the equation. 32 + -32 + 2u = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2u = 16 + -32 2u = 16 + -32 Combine like terms: 16 + -32 = -16 2u = -16 Divide each side by '2'. u = -8 Simplifying u = -8
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