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Simplifying 7n + k + -8k + -8n + 3m = 0 Reorder the terms: k + -8k + 3m + 7n + -8n = 0 Combine like terms: k + -8k = -7k -7k + 3m + 7n + -8n = 0 Combine like terms: 7n + -8n = -1n -7k + 3m + -1n = 0 Solving -7k + 3m + -1n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3m' to each side of the equation. -7k + 3m + -3m + -1n = 0 + -3m Combine like terms: 3m + -3m = 0 -7k + 0 + -1n = 0 + -3m -7k + -1n = 0 + -3m Remove the zero: -7k + -1n = -3m Add 'n' to each side of the equation. -7k + -1n + n = -3m + n Combine like terms: -1n + n = 0 -7k + 0 = -3m + n -7k = -3m + n Divide each side by '-7'. k = 0.4285714286m + -0.1428571429n Simplifying k = 0.4285714286m + -0.1428571429n
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