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Simplifying 32 + 2(3c + 4) = 82 Reorder the terms: 32 + 2(4 + 3c) = 82 32 + (4 * 2 + 3c * 2) = 82 32 + (8 + 6c) = 82 Combine like terms: 32 + 8 = 40 40 + 6c = 82 Solving 40 + 6c = 82 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6c = 82 + -40 Combine like terms: 40 + -40 = 0 0 + 6c = 82 + -40 6c = 82 + -40 Combine like terms: 82 + -40 = 42 6c = 42 Divide each side by '6'. c = 7 Simplifying c = 7
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