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Simplifying 2(u + 6) = -2u + 32 Reorder the terms: 2(6 + u) = -2u + 32 (6 * 2 + u * 2) = -2u + 32 (12 + 2u) = -2u + 32 Reorder the terms: 12 + 2u = 32 + -2u Solving 12 + 2u = 32 + -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. 12 + 2u + 2u = 32 + -2u + 2u Combine like terms: 2u + 2u = 4u 12 + 4u = 32 + -2u + 2u Combine like terms: -2u + 2u = 0 12 + 4u = 32 + 0 12 + 4u = 32 Add '-12' to each side of the equation. 12 + -12 + 4u = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4u = 32 + -12 4u = 32 + -12 Combine like terms: 32 + -12 = 20 4u = 20 Divide each side by '4'. u = 5 Simplifying u = 5
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