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Simplifying 8(u + 4) = -2u + 12 Reorder the terms: 8(4 + u) = -2u + 12 (4 * 8 + u * 8) = -2u + 12 (32 + 8u) = -2u + 12 Reorder the terms: 32 + 8u = 12 + -2u Solving 32 + 8u = 12 + -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 + 8u + 2u = 12 + -2u + 2u Combine like terms: 8u + 2u = 10u 32 + 10u = 12 + -2u + 2u Combine like terms: -2u + 2u = 0 32 + 10u = 12 + 0 32 + 10u = 12 Add '-32' to each side of the equation. 32 + -32 + 10u = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 10u = 12 + -32 10u = 12 + -32 Combine like terms: 12 + -32 = -20 10u = -20 Divide each side by '10'. u = -2 Simplifying u = -2
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