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Simplifying 30 + 4c = 2(c + 6) Reorder the terms: 30 + 4c = 2(6 + c) 30 + 4c = (6 * 2 + c * 2) 30 + 4c = (12 + 2c) Solving 30 + 4c = 12 + 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. 30 + 4c + -2c = 12 + 2c + -2c Combine like terms: 4c + -2c = 2c 30 + 2c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 30 + 2c = 12 + 0 30 + 2c = 12 Add '-30' to each side of the equation. 30 + -30 + 2c = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 2c = 12 + -30 2c = 12 + -30 Combine like terms: 12 + -30 = -18 2c = -18 Divide each side by '2'. c = -9 Simplifying c = -9
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