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Simplifying 12k + 4d + 2d + -5d + -6k = 0 Reorder the terms: 4d + 2d + -5d + 12k + -6k = 0 Combine like terms: 4d + 2d = 6d 6d + -5d + 12k + -6k = 0 Combine like terms: 6d + -5d = 1d 1d + 12k + -6k = 0 Combine like terms: 12k + -6k = 6k 1d + 6k = 0 Solving 1d + 6k = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6k' to each side of the equation. 1d + 6k + -6k = 0 + -6k Combine like terms: 6k + -6k = 0 1d + 0 = 0 + -6k 1d = 0 + -6k Remove the zero: 1d = -6k Divide each side by '1'. d = -6k Simplifying d = -6k
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