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Simplifying 3(5cx + y) = 14cx + -6yforx (5cx * 3 + y * 3) = 14cx + -6yforx (15cx + 3y) = 14cx + -6yforx Solving 15cx + 3y = 14cx + -6forxy Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14cx' to each side of the equation. 15cx + -14cx + 3y = 14cx + -14cx + -6forxy Combine like terms: 15cx + -14cx = 1cx 1cx + 3y = 14cx + -14cx + -6forxy Combine like terms: 14cx + -14cx = 0 1cx + 3y = 0 + -6forxy 1cx + 3y = -6forxy Add '-3y' to each side of the equation. 1cx + 3y + -3y = -6forxy + -3y Combine like terms: 3y + -3y = 0 1cx + 0 = -6forxy + -3y 1cx = -6forxy + -3y Divide each side by '1x'. c = -6fory + -3x-1y Simplifying c = -6fory + -3x-1y
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