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Simplifying 12c + -4 = 14c + 10 Reorder the terms: -4 + 12c = 14c + 10 Reorder the terms: -4 + 12c = 10 + 14c Solving -4 + 12c = 10 + 14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14c' to each side of the equation. -4 + 12c + -14c = 10 + 14c + -14c Combine like terms: 12c + -14c = -2c -4 + -2c = 10 + 14c + -14c Combine like terms: 14c + -14c = 0 -4 + -2c = 10 + 0 -4 + -2c = 10 Add '4' to each side of the equation. -4 + 4 + -2c = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2c = 10 + 4 -2c = 10 + 4 Combine like terms: 10 + 4 = 14 -2c = 14 Divide each side by '-2'. c = -7 Simplifying c = -7
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