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