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Simplifying 9c + -6c + 12 = 2c + -5 Reorder the terms: 12 + 9c + -6c = 2c + -5 Combine like terms: 9c + -6c = 3c 12 + 3c = 2c + -5 Reorder the terms: 12 + 3c = -5 + 2c Solving 12 + 3c = -5 + 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. 12 + 3c + -2c = -5 + 2c + -2c Combine like terms: 3c + -2c = 1c 12 + 1c = -5 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 1c = -5 + 0 12 + 1c = -5 Add '-12' to each side of the equation. 12 + -12 + 1c = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = -5 + -12 1c = -5 + -12 Combine like terms: -5 + -12 = -17 1c = -17 Divide each side by '1'. c = -17 Simplifying c = -17
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