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Simplifying c + -7 + 2c = 12 + -4c + 2 Reorder the terms: -7 + c + 2c = 12 + -4c + 2 Combine like terms: c + 2c = 3c -7 + 3c = 12 + -4c + 2 Reorder the terms: -7 + 3c = 12 + 2 + -4c Combine like terms: 12 + 2 = 14 -7 + 3c = 14 + -4c Solving -7 + 3c = 14 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -7 + 3c + 4c = 14 + -4c + 4c Combine like terms: 3c + 4c = 7c -7 + 7c = 14 + -4c + 4c Combine like terms: -4c + 4c = 0 -7 + 7c = 14 + 0 -7 + 7c = 14 Add '7' to each side of the equation. -7 + 7 + 7c = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 7c = 14 + 7 7c = 14 + 7 Combine like terms: 14 + 7 = 21 7c = 21 Divide each side by '7'. c = 3 Simplifying c = 3
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