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Simplifying 5(3c + -5) + -7c = -41 Reorder the terms: 5(-5 + 3c) + -7c = -41 (-5 * 5 + 3c * 5) + -7c = -41 (-25 + 15c) + -7c = -41 Combine like terms: 15c + -7c = 8c -25 + 8c = -41 Solving -25 + 8c = -41 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 + 8c = -41 + 25 Combine like terms: -25 + 25 = 0 0 + 8c = -41 + 25 8c = -41 + 25 Combine like terms: -41 + 25 = -16 8c = -16 Divide each side by '8'. c = -2 Simplifying c = -2
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