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Simplifying 9c + 2d + -4(8c + -8d) = 0 9c + 2d + (8c * -4 + -8d * -4) = 0 9c + 2d + (-32c + 32d) = 0 Reorder the terms: 9c + -32c + 2d + 32d = 0 Combine like terms: 9c + -32c = -23c -23c + 2d + 32d = 0 Combine like terms: 2d + 32d = 34d -23c + 34d = 0 Solving -23c + 34d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34d' to each side of the equation. -23c + 34d + -34d = 0 + -34d Combine like terms: 34d + -34d = 0 -23c + 0 = 0 + -34d -23c = 0 + -34d Remove the zero: -23c = -34d Divide each side by '-23'. c = 1.47826087d Simplifying c = 1.47826087d
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