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Simplifying 2c + 49 = 21 + -5c Reorder the terms: 49 + 2c = 21 + -5c Solving 49 + 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. 49 + 2c + 5c = 21 + -5c + 5c Combine like terms: 2c + 5c = 7c 49 + 7c = 21 + -5c + 5c Combine like terms: -5c + 5c = 0 49 + 7c = 21 + 0 49 + 7c = 21 Add '-49' to each side of the equation. 49 + -49 + 7c = 21 + -49 Combine like terms: 49 + -49 = 0 0 + 7c = 21 + -49 7c = 21 + -49 Combine like terms: 21 + -49 = -28 7c = -28 Divide each side by '7'. c = -4 Simplifying c = -4
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