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Simplifying 2(5c + 2) = 2(2c + 11) Reorder the terms: 2(2 + 5c) = 2(2c + 11) (2 * 2 + 5c * 2) = 2(2c + 11) (4 + 10c) = 2(2c + 11) Reorder the terms: 4 + 10c = 2(11 + 2c) 4 + 10c = (11 * 2 + 2c * 2) 4 + 10c = (22 + 4c) Solving 4 + 10c = 22 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 4 + 10c + -4c = 22 + 4c + -4c Combine like terms: 10c + -4c = 6c 4 + 6c = 22 + 4c + -4c Combine like terms: 4c + -4c = 0 4 + 6c = 22 + 0 4 + 6c = 22 Add '-4' to each side of the equation. 4 + -4 + 6c = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 6c = 22 + -4 6c = 22 + -4 Combine like terms: 22 + -4 = 18 6c = 18 Divide each side by '6'. c = 3 Simplifying c = 3
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