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Simplifying 4k + -8c + -2k + 9c = 0 Reorder the terms: -8c + 9c + 4k + -2k = 0 Combine like terms: -8c + 9c = 1c 1c + 4k + -2k = 0 Combine like terms: 4k + -2k = 2k 1c + 2k = 0 Solving 1c + 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. 1c + 2k + -2k = 0 + -2k Combine like terms: 2k + -2k = 0 1c + 0 = 0 + -2k 1c = 0 + -2k Remove the zero: 1c = -2k Divide each side by '1'. c = -2k Simplifying c = -2k
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