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Simplifying 3c + 7d + -9(5c + -2d) = 0 3c + 7d + (5c * -9 + -2d * -9) = 0 3c + 7d + (-45c + 18d) = 0 Reorder the terms: 3c + -45c + 7d + 18d = 0 Combine like terms: 3c + -45c = -42c -42c + 7d + 18d = 0 Combine like terms: 7d + 18d = 25d -42c + 25d = 0 Solving -42c + 25d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25d' to each side of the equation. -42c + 25d + -25d = 0 + -25d Combine like terms: 25d + -25d = 0 -42c + 0 = 0 + -25d -42c = 0 + -25d Remove the zero: -42c = -25d Divide each side by '-42'. c = 0.5952380952d Simplifying c = 0.5952380952d
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