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Simplifying c + 2c + 3 = 3 + 2(c + 2) Reorder the terms: 3 + c + 2c = 3 + 2(c + 2) Combine like terms: c + 2c = 3c 3 + 3c = 3 + 2(c + 2) Reorder the terms: 3 + 3c = 3 + 2(2 + c) 3 + 3c = 3 + (2 * 2 + c * 2) 3 + 3c = 3 + (4 + 2c) Combine like terms: 3 + 4 = 7 3 + 3c = 7 + 2c Solving 3 + 3c = 7 + 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. 3 + 3c + -2c = 7 + 2c + -2c Combine like terms: 3c + -2c = 1c 3 + 1c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 3 + 1c = 7 + 0 3 + 1c = 7 Add '-3' to each side of the equation. 3 + -3 + 1c = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1c = 7 + -3 1c = 7 + -3 Combine like terms: 7 + -3 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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