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