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Simplifying -4(6c + -3d) + -5(-2c + -4d) = 0 (6c * -4 + -3d * -4) + -5(-2c + -4d) = 0 (-24c + 12d) + -5(-2c + -4d) = 0 -24c + 12d + (-2c * -5 + -4d * -5) = 0 -24c + 12d + (10c + 20d) = 0 Reorder the terms: -24c + 10c + 12d + 20d = 0 Combine like terms: -24c + 10c = -14c -14c + 12d + 20d = 0 Combine like terms: 12d + 20d = 32d -14c + 32d = 0 Solving -14c + 32d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32d' to each side of the equation. -14c + 32d + -32d = 0 + -32d Combine like terms: 32d + -32d = 0 -14c + 0 = 0 + -32d -14c = 0 + -32d Remove the zero: -14c = -32d Divide each side by '-14'. c = 2.285714286d Simplifying c = 2.285714286d
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