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Simplifying 5c + 10 = 32 + 3c Reorder the terms: 10 + 5c = 32 + 3c Solving 10 + 5c = 32 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 10 + 5c + -3c = 32 + 3c + -3c Combine like terms: 5c + -3c = 2c 10 + 2c = 32 + 3c + -3c Combine like terms: 3c + -3c = 0 10 + 2c = 32 + 0 10 + 2c = 32 Add '-10' to each side of the equation. 10 + -10 + 2c = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 2c = 32 + -10 2c = 32 + -10 Combine like terms: 32 + -10 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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