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Simplifying c + 21 + -10c = 5 + -14c + 16 Reorder the terms: 21 + c + -10c = 5 + -14c + 16 Combine like terms: c + -10c = -9c 21 + -9c = 5 + -14c + 16 Reorder the terms: 21 + -9c = 5 + 16 + -14c Combine like terms: 5 + 16 = 21 21 + -9c = 21 + -14c Add '-21' to each side of the equation. 21 + -21 + -9c = 21 + -21 + -14c Combine like terms: 21 + -21 = 0 0 + -9c = 21 + -21 + -14c -9c = 21 + -21 + -14c Combine like terms: 21 + -21 = 0 -9c = 0 + -14c -9c = -14c Solving -9c = -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. -9c + 14c = -14c + 14c Combine like terms: -9c + 14c = 5c 5c = -14c + 14c Combine like terms: -14c + 14c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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