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Simplifying c + 2(2 + -3c) = -6 c + (2 * 2 + -3c * 2) = -6 c + (4 + -6c) = -6 Reorder the terms: 4 + c + -6c = -6 Combine like terms: c + -6c = -5c 4 + -5c = -6 Solving 4 + -5c = -6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5c = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = -6 + -4 -5c = -6 + -4 Combine like terms: -6 + -4 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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