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Simplifying 2c + 7 = 21 + -5c Reorder the terms: 7 + 2c = 21 + -5c Solving 7 + 2c = 21 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 7 + 2c + 5c = 21 + -5c + 5c Combine like terms: 2c + 5c = 7c 7 + 7c = 21 + -5c + 5c Combine like terms: -5c + 5c = 0 7 + 7c = 21 + 0 7 + 7c = 21 Add '-7' to each side of the equation. 7 + -7 + 7c = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7c = 21 + -7 7c = 21 + -7 Combine like terms: 21 + -7 = 14 7c = 14 Divide each side by '7'. c = 2 Simplifying c = 2
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