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Simplifying -3(5 + -4c) = 7c + 25 (5 * -3 + -4c * -3) = 7c + 25 (-15 + 12c) = 7c + 25 Reorder the terms: -15 + 12c = 25 + 7c Solving -15 + 12c = 25 + 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. -15 + 12c + -7c = 25 + 7c + -7c Combine like terms: 12c + -7c = 5c -15 + 5c = 25 + 7c + -7c Combine like terms: 7c + -7c = 0 -15 + 5c = 25 + 0 -15 + 5c = 25 Add '15' to each side of the equation. -15 + 15 + 5c = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 5c = 25 + 15 5c = 25 + 15 Combine like terms: 25 + 15 = 40 5c = 40 Divide each side by '5'. c = 8 Simplifying c = 8
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