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Simplifying 4c + -6 = 2c + 12 Reorder the terms: -6 + 4c = 2c + 12 Reorder the terms: -6 + 4c = 12 + 2c Solving -6 + 4c = 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 + 4c + -2c = 12 + 2c + -2c Combine like terms: 4c + -2c = 2c -6 + 2c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 2c = 12 + 0 -6 + 2c = 12 Add '6' to each side of the equation. -6 + 6 + 2c = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2c = 12 + 6 2c = 12 + 6 Combine like terms: 12 + 6 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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