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Simplifying 6c + 2f + 4c + 3x + f + 2m + 6x = 0 Reorder the terms: 6c + 4c + 2f + f + 2m + 3x + 6x = 0 Combine like terms: 6c + 4c = 10c 10c + 2f + f + 2m + 3x + 6x = 0 Combine like terms: 2f + f = 3f 10c + 3f + 2m + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x 10c + 3f + 2m + 9x = 0 Solving 10c + 3f + 2m + 9x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. 10c + 3f + 2m + -3f + 9x = 0 + -3f Reorder the terms: 10c + 3f + -3f + 2m + 9x = 0 + -3f Combine like terms: 3f + -3f = 0 10c + 0 + 2m + 9x = 0 + -3f 10c + 2m + 9x = 0 + -3f Remove the zero: 10c + 2m + 9x = -3f Add '-2m' to each side of the equation. 10c + 2m + -2m + 9x = -3f + -2m Combine like terms: 2m + -2m = 0 10c + 0 + 9x = -3f + -2m 10c + 9x = -3f + -2m Add '-9x' to each side of the equation. 10c + 9x + -9x = -3f + -2m + -9x Combine like terms: 9x + -9x = 0 10c + 0 = -3f + -2m + -9x 10c = -3f + -2m + -9x Divide each side by '10'. c = -0.3f + -0.2m + -0.9x Simplifying c = -0.3f + -0.2m + -0.9x
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