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Simplifying 2c + 2(2c + 5) = 22 Reorder the terms: 2c + 2(5 + 2c) = 22 2c + (5 * 2 + 2c * 2) = 22 2c + (10 + 4c) = 22 Reorder the terms: 10 + 2c + 4c = 22 Combine like terms: 2c + 4c = 6c 10 + 6c = 22 Solving 10 + 6c = 22 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6c = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 6c = 22 + -10 6c = 22 + -10 Combine like terms: 22 + -10 = 12 6c = 12 Divide each side by '6'. c = 2 Simplifying c = 2
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