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Simplifying 5c + -17 = 2c + 14 Reorder the terms: -17 + 5c = 2c + 14 Reorder the terms: -17 + 5c = 14 + 2c Solving -17 + 5c = 14 + 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. -17 + 5c + -2c = 14 + 2c + -2c Combine like terms: 5c + -2c = 3c -17 + 3c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 -17 + 3c = 14 + 0 -17 + 3c = 14 Add '17' to each side of the equation. -17 + 17 + 3c = 14 + 17 Combine like terms: -17 + 17 = 0 0 + 3c = 14 + 17 3c = 14 + 17 Combine like terms: 14 + 17 = 31 3c = 31 Divide each side by '3'. c = 10.33333333 Simplifying c = 10.33333333
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