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Simplifying 8c + 12 + -3c = -6c + -6 + 8c Reorder the terms: 12 + 8c + -3c = -6c + -6 + 8c Combine like terms: 8c + -3c = 5c 12 + 5c = -6c + -6 + 8c Reorder the terms: 12 + 5c = -6 + -6c + 8c Combine like terms: -6c + 8c = 2c 12 + 5c = -6 + 2c Solving 12 + 5c = -6 + 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 + 5c + -2c = -6 + 2c + -2c Combine like terms: 5c + -2c = 3c 12 + 3c = -6 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 3c = -6 + 0 12 + 3c = -6 Add '-12' to each side of the equation. 12 + -12 + 3c = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3c = -6 + -12 3c = -6 + -12 Combine like terms: -6 + -12 = -18 3c = -18 Divide each side by '3'. c = -6 Simplifying c = -6
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