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Simplifying 9c + 2d + -5(6c + -7d) = 0 9c + 2d + (6c * -5 + -7d * -5) = 0 9c + 2d + (-30c + 35d) = 0 Reorder the terms: 9c + -30c + 2d + 35d = 0 Combine like terms: 9c + -30c = -21c -21c + 2d + 35d = 0 Combine like terms: 2d + 35d = 37d -21c + 37d = 0 Solving -21c + 37d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37d' to each side of the equation. -21c + 37d + -37d = 0 + -37d Combine like terms: 37d + -37d = 0 -21c + 0 = 0 + -37d -21c = 0 + -37d Remove the zero: -21c = -37d Divide each side by '-21'. c = 1.761904762d Simplifying c = 1.761904762d
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