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Simplifying 7c + -3c + 10 = 2c + 20 Reorder the terms: 10 + 7c + -3c = 2c + 20 Combine like terms: 7c + -3c = 4c 10 + 4c = 2c + 20 Reorder the terms: 10 + 4c = 20 + 2c Solving 10 + 4c = 20 + 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. 10 + 4c + -2c = 20 + 2c + -2c Combine like terms: 4c + -2c = 2c 10 + 2c = 20 + 2c + -2c Combine like terms: 2c + -2c = 0 10 + 2c = 20 + 0 10 + 2c = 20 Add '-10' to each side of the equation. 10 + -10 + 2c = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2c = 20 + -10 2c = 20 + -10 Combine like terms: 20 + -10 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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