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Simplifying 3c + 9d + -2(6c + -6d) = 0 3c + 9d + (6c * -2 + -6d * -2) = 0 3c + 9d + (-12c + 12d) = 0 Reorder the terms: 3c + -12c + 9d + 12d = 0 Combine like terms: 3c + -12c = -9c -9c + 9d + 12d = 0 Combine like terms: 9d + 12d = 21d -9c + 21d = 0 Solving -9c + 21d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21d' to each side of the equation. -9c + 21d + -21d = 0 + -21d Combine like terms: 21d + -21d = 0 -9c + 0 = 0 + -21d -9c = 0 + -21d Remove the zero: -9c = -21d Divide each side by '-9'. c = 2.333333333d Simplifying c = 2.333333333d
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