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Simplifying 3(c + 8) + c = 32 Reorder the terms: 3(8 + c) + c = 32 (8 * 3 + c * 3) + c = 32 (24 + 3c) + c = 32 Combine like terms: 3c + c = 4c 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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