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Simplifying 5c + 12 = 3c + -8 Reorder the terms: 12 + 5c = 3c + -8 Reorder the terms: 12 + 5c = -8 + 3c Solving 12 + 5c = -8 + 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 + 5c + -3c = -8 + 3c + -3c Combine like terms: 5c + -3c = 2c 12 + 2c = -8 + 3c + -3c Combine like terms: 3c + -3c = 0 12 + 2c = -8 + 0 12 + 2c = -8 Add '-12' to each side of the equation. 12 + -12 + 2c = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = -8 + -12 2c = -8 + -12 Combine like terms: -8 + -12 = -20 2c = -20 Divide each side by '2'. c = -10 Simplifying c = -10
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