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Simplifying 4(2c + 1) = 2(2c + 2) Reorder the terms: 4(1 + 2c) = 2(2c + 2) (1 * 4 + 2c * 4) = 2(2c + 2) (4 + 8c) = 2(2c + 2) Reorder the terms: 4 + 8c = 2(2 + 2c) 4 + 8c = (2 * 2 + 2c * 2) 4 + 8c = (4 + 4c) Add '-4' to each side of the equation. 4 + -4 + 8c = 4 + -4 + 4c Combine like terms: 4 + -4 = 0 0 + 8c = 4 + -4 + 4c 8c = 4 + -4 + 4c Combine like terms: 4 + -4 = 0 8c = 0 + 4c 8c = 4c Solving 8c = 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. 8c + -4c = 4c + -4c Combine like terms: 8c + -4c = 4c 4c = 4c + -4c Combine like terms: 4c + -4c = 0 4c = 0 Divide each side by '4'. c = 0 Simplifying c = 0
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