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Simplifying 7c + -4 = 9c + -14 Reorder the terms: -4 + 7c = 9c + -14 Reorder the terms: -4 + 7c = -14 + 9c Solving -4 + 7c = -14 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -4 + 7c + -9c = -14 + 9c + -9c Combine like terms: 7c + -9c = -2c -4 + -2c = -14 + 9c + -9c Combine like terms: 9c + -9c = 0 -4 + -2c = -14 + 0 -4 + -2c = -14 Add '4' to each side of the equation. -4 + 4 + -2c = -14 + 4 Combine like terms: -4 + 4 = 0 0 + -2c = -14 + 4 -2c = -14 + 4 Combine like terms: -14 + 4 = -10 -2c = -10 Divide each side by '-2'. c = 5 Simplifying c = 5
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