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Simplifying 3k + m2 + -4n + -3m2 + k = 0 Reorder the terms: 3k + k + m2 + -3m2 + -4n = 0 Combine like terms: 3k + k = 4k 4k + m2 + -3m2 + -4n = 0 Combine like terms: m2 + -3m2 = -2m2 4k + -2m2 + -4n = 0 Solving 4k + -2m2 + -4n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2m2' to each side of the equation. 4k + -2m2 + 2m2 + -4n = 0 + 2m2 Combine like terms: -2m2 + 2m2 = 0 4k + 0 + -4n = 0 + 2m2 4k + -4n = 0 + 2m2 Remove the zero: 4k + -4n = 2m2 Add '4n' to each side of the equation. 4k + -4n + 4n = 2m2 + 4n Combine like terms: -4n + 4n = 0 4k + 0 = 2m2 + 4n 4k = 2m2 + 4n Divide each side by '4'. k = 0.5m2 + n Simplifying k = 0.5m2 + n
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