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Simplifying 7k + 4d + 9k + 2d = 0 Reorder the terms: 4d + 2d + 7k + 9k = 0 Combine like terms: 4d + 2d = 6d 6d + 7k + 9k = 0 Combine like terms: 7k + 9k = 16k 6d + 16k = 0 Solving 6d + 16k = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16k' to each side of the equation. 6d + 16k + -16k = 0 + -16k Combine like terms: 16k + -16k = 0 6d + 0 = 0 + -16k 6d = 0 + -16k Remove the zero: 6d = -16k Divide each side by '6'. d = -2.666666667k Simplifying d = -2.666666667k
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