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Simplifying 12(u + 1) = 8u + 44 Reorder the terms: 12(1 + u) = 8u + 44 (1 * 12 + u * 12) = 8u + 44 (12 + 12u) = 8u + 44 Reorder the terms: 12 + 12u = 44 + 8u Solving 12 + 12u = 44 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 12 + 12u + -8u = 44 + 8u + -8u Combine like terms: 12u + -8u = 4u 12 + 4u = 44 + 8u + -8u Combine like terms: 8u + -8u = 0 12 + 4u = 44 + 0 12 + 4u = 44 Add '-12' to each side of the equation. 12 + -12 + 4u = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 4u = 44 + -12 4u = 44 + -12 Combine like terms: 44 + -12 = 32 4u = 32 Divide each side by '4'. u = 8 Simplifying u = 8
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