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Simplifying 5c + -6 = 2c + 12 Reorder the terms: -6 + 5c = 2c + 12 Reorder the terms: -6 + 5c = 12 + 2c Solving -6 + 5c = 12 + 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 = 12 + 2c + -2c Combine like terms: 5c + -2c = 3c -6 + 3c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 3c = 12 + 0 -6 + 3c = 12 Add '6' to each side of the equation. -6 + 6 + 3c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 12 + 6 3c = 12 + 6 Combine like terms: 12 + 6 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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