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Simplifying 6c + 21 = 17c + 10 Reorder the terms: 21 + 6c = 17c + 10 Reorder the terms: 21 + 6c = 10 + 17c Solving 21 + 6c = 10 + 17c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17c' to each side of the equation. 21 + 6c + -17c = 10 + 17c + -17c Combine like terms: 6c + -17c = -11c 21 + -11c = 10 + 17c + -17c Combine like terms: 17c + -17c = 0 21 + -11c = 10 + 0 21 + -11c = 10 Add '-21' to each side of the equation. 21 + -21 + -11c = 10 + -21 Combine like terms: 21 + -21 = 0 0 + -11c = 10 + -21 -11c = 10 + -21 Combine like terms: 10 + -21 = -11 -11c = -11 Divide each side by '-11'. c = 1 Simplifying c = 1
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