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Simplifying 5c + -6 = 8 + -2c Reorder the terms: -6 + 5c = 8 + -2c Solving -6 + 5c = 8 + -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. -6 + 5c + 2c = 8 + -2c + 2c Combine like terms: 5c + 2c = 7c -6 + 7c = 8 + -2c + 2c Combine like terms: -2c + 2c = 0 -6 + 7c = 8 + 0 -6 + 7c = 8 Add '6' to each side of the equation. -6 + 6 + 7c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7c = 8 + 6 7c = 8 + 6 Combine like terms: 8 + 6 = 14 7c = 14 Divide each side by '7'. c = 2 Simplifying c = 2
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