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Simplifying 2u + -2 + 8 = 12u + -24 Reorder the terms: -2 + 8 + 2u = 12u + -24 Combine like terms: -2 + 8 = 6 6 + 2u = 12u + -24 Reorder the terms: 6 + 2u = -24 + 12u Solving 6 + 2u = -24 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 6 + 2u + -12u = -24 + 12u + -12u Combine like terms: 2u + -12u = -10u 6 + -10u = -24 + 12u + -12u Combine like terms: 12u + -12u = 0 6 + -10u = -24 + 0 6 + -10u = -24 Add '-6' to each side of the equation. 6 + -6 + -10u = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -10u = -24 + -6 -10u = -24 + -6 Combine like terms: -24 + -6 = -30 -10u = -30 Divide each side by '-10'. u = 3 Simplifying u = 3
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