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Simplifying 8c + 6d + -9(4c + -8d) = 0 8c + 6d + (4c * -9 + -8d * -9) = 0 8c + 6d + (-36c + 72d) = 0 Reorder the terms: 8c + -36c + 6d + 72d = 0 Combine like terms: 8c + -36c = -28c -28c + 6d + 72d = 0 Combine like terms: 6d + 72d = 78d -28c + 78d = 0 Solving -28c + 78d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-78d' to each side of the equation. -28c + 78d + -78d = 0 + -78d Combine like terms: 78d + -78d = 0 -28c + 0 = 0 + -78d -28c = 0 + -78d Remove the zero: -28c = -78d Divide each side by '-28'. c = 2.785714286d Simplifying c = 2.785714286d
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