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