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Simplifying -6 + 2c = 8c + 12 Reorder the terms: -6 + 2c = 12 + 8c Solving -6 + 2c = 12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -6 + 2c + -8c = 12 + 8c + -8c Combine like terms: 2c + -8c = -6c -6 + -6c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + -6c = 12 + 0 -6 + -6c = 12 Add '6' to each side of the equation. -6 + 6 + -6c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6c = 12 + 6 -6c = 12 + 6 Combine like terms: 12 + 6 = 18 -6c = 18 Divide each side by '-6'. c = -3 Simplifying c = -3
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