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Simplifying 5(c + -5) + 2c = 24 Reorder the terms: 5(-5 + c) + 2c = 24 (-5 * 5 + c * 5) + 2c = 24 (-25 + 5c) + 2c = 24 Combine like terms: 5c + 2c = 7c -25 + 7c = 24 Solving -25 + 7c = 24 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7c = 24 + 25 Combine like terms: -25 + 25 = 0 0 + 7c = 24 + 25 7c = 24 + 25 Combine like terms: 24 + 25 = 49 7c = 49 Divide each side by '7'. c = 7 Simplifying c = 7
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