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Simplifying 12c + -7 + 5 = 5c + 2c + -7 Reorder the terms: -7 + 5 + 12c = 5c + 2c + -7 Combine like terms: -7 + 5 = -2 -2 + 12c = 5c + 2c + -7 Reorder the terms: -2 + 12c = -7 + 5c + 2c Combine like terms: 5c + 2c = 7c -2 + 12c = -7 + 7c Solving -2 + 12c = -7 + 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. -2 + 12c + -7c = -7 + 7c + -7c Combine like terms: 12c + -7c = 5c -2 + 5c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 -2 + 5c = -7 + 0 -2 + 5c = -7 Add '2' to each side of the equation. -2 + 2 + 5c = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 5c = -7 + 2 5c = -7 + 2 Combine like terms: -7 + 2 = -5 5c = -5 Divide each side by '5'. c = -1 Simplifying c = -1
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