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Simplifying -6(c + -2) + 4(3 + -6c) = -36 Reorder the terms: -6(-2 + c) + 4(3 + -6c) = -36 (-2 * -6 + c * -6) + 4(3 + -6c) = -36 (12 + -6c) + 4(3 + -6c) = -36 12 + -6c + (3 * 4 + -6c * 4) = -36 12 + -6c + (12 + -24c) = -36 Reorder the terms: 12 + 12 + -6c + -24c = -36 Combine like terms: 12 + 12 = 24 24 + -6c + -24c = -36 Combine like terms: -6c + -24c = -30c 24 + -30c = -36 Solving 24 + -30c = -36 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -30c = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -30c = -36 + -24 -30c = -36 + -24 Combine like terms: -36 + -24 = -60 -30c = -60 Divide each side by '-30'. c = 2 Simplifying c = 2
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