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Simplifying 12c + -6 + -8c + 2 = 2c + 16 Reorder the terms: -6 + 2 + 12c + -8c = 2c + 16 Combine like terms: -6 + 2 = -4 -4 + 12c + -8c = 2c + 16 Combine like terms: 12c + -8c = 4c -4 + 4c = 2c + 16 Reorder the terms: -4 + 4c = 16 + 2c Solving -4 + 4c = 16 + 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. -4 + 4c + -2c = 16 + 2c + -2c Combine like terms: 4c + -2c = 2c -4 + 2c = 16 + 2c + -2c Combine like terms: 2c + -2c = 0 -4 + 2c = 16 + 0 -4 + 2c = 16 Add '4' to each side of the equation. -4 + 4 + 2c = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 16 + 4 2c = 16 + 4 Combine like terms: 16 + 4 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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