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Simplifying 8c + 8d + -9(7c + -8d) = 0 8c + 8d + (7c * -9 + -8d * -9) = 0 8c + 8d + (-63c + 72d) = 0 Reorder the terms: 8c + -63c + 8d + 72d = 0 Combine like terms: 8c + -63c = -55c -55c + 8d + 72d = 0 Combine like terms: 8d + 72d = 80d -55c + 80d = 0 Solving -55c + 80d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-80d' to each side of the equation. -55c + 80d + -80d = 0 + -80d Combine like terms: 80d + -80d = 0 -55c + 0 = 0 + -80d -55c = 0 + -80d Remove the zero: -55c = -80d Divide each side by '-55'. c = 1.454545455d Simplifying c = 1.454545455d
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