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Simplifying 9c + 7d + -4(3c + -2d) = 0 9c + 7d + (3c * -4 + -2d * -4) = 0 9c + 7d + (-12c + 8d) = 0 Reorder the terms: 9c + -12c + 7d + 8d = 0 Combine like terms: 9c + -12c = -3c -3c + 7d + 8d = 0 Combine like terms: 7d + 8d = 15d -3c + 15d = 0 Solving -3c + 15d = 0 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. -3c + 15d + -15d = 0 + -15d Combine like terms: 15d + -15d = 0 -3c + 0 = 0 + -15d -3c = 0 + -15d Remove the zero: -3c = -15d Divide each side by '-3'. c = 5d Simplifying c = 5d
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