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Simplifying 5c + 7k + 3c + -5k = 0 Reorder the terms: 5c + 3c + 7k + -5k = 0 Combine like terms: 5c + 3c = 8c 8c + 7k + -5k = 0 Combine like terms: 7k + -5k = 2k 8c + 2k = 0 Solving 8c + 2k = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2k' to each side of the equation. 8c + 2k + -2k = 0 + -2k Combine like terms: 2k + -2k = 0 8c + 0 = 0 + -2k 8c = 0 + -2k Remove the zero: 8c = -2k Divide each side by '8'. c = -0.25k Simplifying c = -0.25k
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