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Simplifying 5c + 8 = 7c + 2 Reorder the terms: 8 + 5c = 7c + 2 Reorder the terms: 8 + 5c = 2 + 7c Solving 8 + 5c = 2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 8 + 5c + -7c = 2 + 7c + -7c Combine like terms: 5c + -7c = -2c 8 + -2c = 2 + 7c + -7c Combine like terms: 7c + -7c = 0 8 + -2c = 2 + 0 8 + -2c = 2 Add '-8' to each side of the equation. 8 + -8 + -2c = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2c = 2 + -8 -2c = 2 + -8 Combine like terms: 2 + -8 = -6 -2c = -6 Divide each side by '-2'. c = 3 Simplifying c = 3
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