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Simplifying 4(c + 2) = 2c + 18 Reorder the terms: 4(2 + c) = 2c + 18 (2 * 4 + c * 4) = 2c + 18 (8 + 4c) = 2c + 18 Reorder the terms: 8 + 4c = 18 + 2c Solving 8 + 4c = 18 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 8 + 4c + -2c = 18 + 2c + -2c Combine like terms: 4c + -2c = 2c 8 + 2c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 8 + 2c = 18 + 0 8 + 2c = 18 Add '-8' to each side of the equation. 8 + -8 + 2c = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = 18 + -8 2c = 18 + -8 Combine like terms: 18 + -8 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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