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Simplifying 12c + -6(1 + -4c) + 16 = 31 12c + (1 * -6 + -4c * -6) + 16 = 31 12c + (-6 + 24c) + 16 = 31 Reorder the terms: -6 + 16 + 12c + 24c = 31 Combine like terms: -6 + 16 = 10 10 + 12c + 24c = 31 Combine like terms: 12c + 24c = 36c 10 + 36c = 31 Solving 10 + 36c = 31 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 36c = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 36c = 31 + -10 36c = 31 + -10 Combine like terms: 31 + -10 = 21 36c = 21 Divide each side by '36'. c = 0.5833333333 Simplifying c = 0.5833333333
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