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Simplifying 2(c + 6) = 7 + -3c Reorder the terms: 2(6 + c) = 7 + -3c (6 * 2 + c * 2) = 7 + -3c (12 + 2c) = 7 + -3c Solving 12 + 2c = 7 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 12 + 2c + 3c = 7 + -3c + 3c Combine like terms: 2c + 3c = 5c 12 + 5c = 7 + -3c + 3c Combine like terms: -3c + 3c = 0 12 + 5c = 7 + 0 12 + 5c = 7 Add '-12' to each side of the equation. 12 + -12 + 5c = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 5c = 7 + -12 5c = 7 + -12 Combine like terms: 7 + -12 = -5 5c = -5 Divide each side by '5'. c = -1 Simplifying c = -1
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