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Simplifying 214 = 6c + -11 + 3c Reorder the terms: 214 = -11 + 6c + 3c Combine like terms: 6c + 3c = 9c 214 = -11 + 9c Solving 214 = -11 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 214 + -9c = -11 + 9c + -9c Combine like terms: 9c + -9c = 0 214 + -9c = -11 + 0 214 + -9c = -11 Add '-214' to each side of the equation. 214 + -214 + -9c = -11 + -214 Combine like terms: 214 + -214 = 0 0 + -9c = -11 + -214 -9c = -11 + -214 Combine like terms: -11 + -214 = -225 -9c = -225 Divide each side by '-9'. c = 25 Simplifying c = 25
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