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Simplifying 8(4 + -1u) = 12 + 2u (4 * 8 + -1u * 8) = 12 + 2u (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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