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Simplifying 6c + 7 = 2c + 27 Reorder the terms: 7 + 6c = 2c + 27 Reorder the terms: 7 + 6c = 27 + 2c Solving 7 + 6c = 27 + 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. 7 + 6c + -2c = 27 + 2c + -2c Combine like terms: 6c + -2c = 4c 7 + 4c = 27 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + 4c = 27 + 0 7 + 4c = 27 Add '-7' to each side of the equation. 7 + -7 + 4c = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 27 + -7 4c = 27 + -7 Combine like terms: 27 + -7 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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