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Simplifying 7c + -4 = 5c + 6 Reorder the terms: -4 + 7c = 5c + 6 Reorder the terms: -4 + 7c = 6 + 5c Solving -4 + 7c = 6 + 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. -4 + 7c + -5c = 6 + 5c + -5c Combine like terms: 7c + -5c = 2c -4 + 2c = 6 + 5c + -5c Combine like terms: 5c + -5c = 0 -4 + 2c = 6 + 0 -4 + 2c = 6 Add '4' to each side of the equation. -4 + 4 + 2c = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 6 + 4 2c = 6 + 4 Combine like terms: 6 + 4 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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