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Simplifying 6 + 12c = 33 + 3c Solving 6 + 12c = 33 + 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 + 12c + -3c = 33 + 3c + -3c Combine like terms: 12c + -3c = 9c 6 + 9c = 33 + 3c + -3c Combine like terms: 3c + -3c = 0 6 + 9c = 33 + 0 6 + 9c = 33 Add '-6' to each side of the equation. 6 + -6 + 9c = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 9c = 33 + -6 9c = 33 + -6 Combine like terms: 33 + -6 = 27 9c = 27 Divide each side by '9'. c = 3 Simplifying c = 3
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