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Simplifying 0 = 3(9k + -4) + -4(5n + -3) Reorder the terms: 0 = 3(-4 + 9k) + -4(5n + -3) 0 = (-4 * 3 + 9k * 3) + -4(5n + -3) 0 = (-12 + 27k) + -4(5n + -3) Reorder the terms: 0 = -12 + 27k + -4(-3 + 5n) 0 = -12 + 27k + (-3 * -4 + 5n * -4) 0 = -12 + 27k + (12 + -20n) Reorder the terms: 0 = -12 + 12 + 27k + -20n Combine like terms: -12 + 12 = 0 0 = 0 + 27k + -20n 0 = 27k + -20n Solving 0 = 27k + -20n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. 0 + -27k = 27k + -27k + -20n Remove the zero: -27k = 27k + -27k + -20n Combine like terms: 27k + -27k = 0 -27k = 0 + -20n -27k = -20n Divide each side by '-27'. k = 0.7407407407n Simplifying k = 0.7407407407n
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