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Simplifying 6c + 8 = 4c + 32 Reorder the terms: 8 + 6c = 4c + 32 Reorder the terms: 8 + 6c = 32 + 4c Solving 8 + 6c = 32 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 8 + 6c + -4c = 32 + 4c + -4c Combine like terms: 6c + -4c = 2c 8 + 2c = 32 + 4c + -4c Combine like terms: 4c + -4c = 0 8 + 2c = 32 + 0 8 + 2c = 32 Add '-8' to each side of the equation. 8 + -8 + 2c = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = 32 + -8 2c = 32 + -8 Combine like terms: 32 + -8 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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