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Simplifying -2(m + -3n + 6k) = 0 Reorder the terms: -2(6k + m + -3n) = 0 (6k * -2 + m * -2 + -3n * -2) = 0 (-12k + -2m + 6n) = 0 Solving -12k + -2m + 6n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2m' to each side of the equation. -12k + -2m + 2m + 6n = 0 + 2m Combine like terms: -2m + 2m = 0 -12k + 0 + 6n = 0 + 2m -12k + 6n = 0 + 2m Remove the zero: -12k + 6n = 2m Add '-6n' to each side of the equation. -12k + 6n + -6n = 2m + -6n Combine like terms: 6n + -6n = 0 -12k + 0 = 2m + -6n -12k = 2m + -6n Divide each side by '-12'. k = -0.1666666667m + 0.5n Simplifying k = -0.1666666667m + 0.5n
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