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Simplifying -4(c + 6) = -32 Reorder the terms: -4(6 + c) = -32 (6 * -4 + c * -4) = -32 (-24 + -4c) = -32 Solving -24 + -4c = -32 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 + -4c = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -4c = -32 + 24 -4c = -32 + 24 Combine like terms: -32 + 24 = -8 -4c = -8 Divide each side by '-4'. c = 2 Simplifying c = 2
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