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Simplifying 7 + -3c = 2(c + 6) Reorder the terms: 7 + -3c = 2(6 + c) 7 + -3c = (6 * 2 + c * 2) 7 + -3c = (12 + 2c) Solving 7 + -3c = 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. 7 + -3c + -2c = 12 + 2c + -2c Combine like terms: -3c + -2c = -5c 7 + -5c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + -5c = 12 + 0 7 + -5c = 12 Add '-7' to each side of the equation. 7 + -7 + -5c = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = 12 + -7 -5c = 12 + -7 Combine like terms: 12 + -7 = 5 -5c = 5 Divide each side by '-5'. c = -1 Simplifying c = -1
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