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Simplifying 2u + 12 = 7u + -8 Reorder the terms: 12 + 2u = 7u + -8 Reorder the terms: 12 + 2u = -8 + 7u Solving 12 + 2u = -8 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 12 + 2u + -7u = -8 + 7u + -7u Combine like terms: 2u + -7u = -5u 12 + -5u = -8 + 7u + -7u Combine like terms: 7u + -7u = 0 12 + -5u = -8 + 0 12 + -5u = -8 Add '-12' to each side of the equation. 12 + -12 + -5u = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5u = -8 + -12 -5u = -8 + -12 Combine like terms: -8 + -12 = -20 -5u = -20 Divide each side by '-5'. u = 4 Simplifying u = 4
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