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Simplifying 12kl + -20mn + -5kl + -3mn = 0 Reorder the terms: 12kl + -5kl + -20mn + -3mn = 0 Combine like terms: 12kl + -5kl = 7kl 7kl + -20mn + -3mn = 0 Combine like terms: -20mn + -3mn = -23mn 7kl + -23mn = 0 Solving 7kl + -23mn = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23mn' to each side of the equation. 7kl + -23mn + 23mn = 0 + 23mn Combine like terms: -23mn + 23mn = 0 7kl + 0 = 0 + 23mn 7kl = 0 + 23mn Remove the zero: 7kl = 23mn Divide each side by '7l'. k = 3.285714286l-1mn Simplifying k = 3.285714286l-1mn
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