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Simplifying 7c + 9d + -9(8c + -8d) = 0 7c + 9d + (8c * -9 + -8d * -9) = 0 7c + 9d + (-72c + 72d) = 0 Reorder the terms: 7c + -72c + 9d + 72d = 0 Combine like terms: 7c + -72c = -65c -65c + 9d + 72d = 0 Combine like terms: 9d + 72d = 81d -65c + 81d = 0 Solving -65c + 81d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-81d' to each side of the equation. -65c + 81d + -81d = 0 + -81d Combine like terms: 81d + -81d = 0 -65c + 0 = 0 + -81d -65c = 0 + -81d Remove the zero: -65c = -81d Divide each side by '-65'. c = 1.246153846d Simplifying c = 1.246153846d
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