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Simplifying 7c + 6d + -7(9c + -3d) = 0 7c + 6d + (9c * -7 + -3d * -7) = 0 7c + 6d + (-63c + 21d) = 0 Reorder the terms: 7c + -63c + 6d + 21d = 0 Combine like terms: 7c + -63c = -56c -56c + 6d + 21d = 0 Combine like terms: 6d + 21d = 27d -56c + 27d = 0 Solving -56c + 27d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27d' to each side of the equation. -56c + 27d + -27d = 0 + -27d Combine like terms: 27d + -27d = 0 -56c + 0 = 0 + -27d -56c = 0 + -27d Remove the zero: -56c = -27d Divide each side by '-56'. c = 0.4821428571d Simplifying c = 0.4821428571d
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