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Simplifying 4(2c + 2) = 3(2c + 8) Reorder the terms: 4(2 + 2c) = 3(2c + 8) (2 * 4 + 2c * 4) = 3(2c + 8) (8 + 8c) = 3(2c + 8) Reorder the terms: 8 + 8c = 3(8 + 2c) 8 + 8c = (8 * 3 + 2c * 3) 8 + 8c = (24 + 6c) Solving 8 + 8c = 24 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 8 + 8c + -6c = 24 + 6c + -6c Combine like terms: 8c + -6c = 2c 8 + 2c = 24 + 6c + -6c Combine like terms: 6c + -6c = 0 8 + 2c = 24 + 0 8 + 2c = 24 Add '-8' to each side of the equation. 8 + -8 + 2c = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = 24 + -8 2c = 24 + -8 Combine like terms: 24 + -8 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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