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Simplifying 6c + 11 = 2c + 55 Reorder the terms: 11 + 6c = 2c + 55 Reorder the terms: 11 + 6c = 55 + 2c Solving 11 + 6c = 55 + 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. 11 + 6c + -2c = 55 + 2c + -2c Combine like terms: 6c + -2c = 4c 11 + 4c = 55 + 2c + -2c Combine like terms: 2c + -2c = 0 11 + 4c = 55 + 0 11 + 4c = 55 Add '-11' to each side of the equation. 11 + -11 + 4c = 55 + -11 Combine like terms: 11 + -11 = 0 0 + 4c = 55 + -11 4c = 55 + -11 Combine like terms: 55 + -11 = 44 4c = 44 Divide each side by '4'. c = 11 Simplifying c = 11
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