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Simplifying 12u + 7 = 7 + -1u Reorder the terms: 7 + 12u = 7 + -1u Add '-7' to each side of the equation. 7 + -7 + 12u = 7 + -7 + -1u Combine like terms: 7 + -7 = 0 0 + 12u = 7 + -7 + -1u 12u = 7 + -7 + -1u Combine like terms: 7 + -7 = 0 12u = 0 + -1u 12u = -1u Solving 12u = -1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'u' to each side of the equation. 12u + u = -1u + u Combine like terms: 12u + u = 13u 13u = -1u + u Combine like terms: -1u + u = 0 13u = 0 Divide each side by '13'. u = 0 Simplifying u = 0
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