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Simplifying 3c + 7d + -4(3c + -4d) = 0 3c + 7d + (3c * -4 + -4d * -4) = 0 3c + 7d + (-12c + 16d) = 0 Reorder the terms: 3c + -12c + 7d + 16d = 0 Combine like terms: 3c + -12c = -9c -9c + 7d + 16d = 0 Combine like terms: 7d + 16d = 23d -9c + 23d = 0 Solving -9c + 23d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23d' to each side of the equation. -9c + 23d + -23d = 0 + -23d Combine like terms: 23d + -23d = 0 -9c + 0 = 0 + -23d -9c = 0 + -23d Remove the zero: -9c = -23d Divide each side by '-9'. c = 2.555555556d Simplifying c = 2.555555556d
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