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Simplifying 2c + 4(c + 9) = 6 Reorder the terms: 2c + 4(9 + c) = 6 2c + (9 * 4 + c * 4) = 6 2c + (36 + 4c) = 6 Reorder the terms: 36 + 2c + 4c = 6 Combine like terms: 2c + 4c = 6c 36 + 6c = 6 Solving 36 + 6c = 6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6c = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 6c = 6 + -36 6c = 6 + -36 Combine like terms: 6 + -36 = -30 6c = -30 Divide each side by '6'. c = -5 Simplifying c = -5
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