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Simplifying (-2c + 3d)(-5) = 27 Reorder the terms for easier multiplication: -5(-2c + 3d) = 27 (-2c * -5 + 3d * -5) = 27 (10c + -15d) = 27 Solving 10c + -15d = 27 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15d' to each side of the equation. 10c + -15d + 15d = 27 + 15d Combine like terms: -15d + 15d = 0 10c + 0 = 27 + 15d 10c = 27 + 15d Divide each side by '10'. c = 2.7 + 1.5d Simplifying c = 2.7 + 1.5d
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