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Simplifying 6(6d + -3s) + 3(5s + d) = 0 (6d * 6 + -3s * 6) + 3(5s + d) = 0 (36d + -18s) + 3(5s + d) = 0 Reorder the terms: 36d + -18s + 3(d + 5s) = 0 36d + -18s + (d * 3 + 5s * 3) = 0 36d + -18s + (3d + 15s) = 0 Reorder the terms: 36d + 3d + -18s + 15s = 0 Combine like terms: 36d + 3d = 39d 39d + -18s + 15s = 0 Combine like terms: -18s + 15s = -3s 39d + -3s = 0 Solving 39d + -3s = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3s' to each side of the equation. 39d + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 39d + 0 = 0 + 3s 39d = 0 + 3s Remove the zero: 39d = 3s Divide each side by '39'. d = 0.07692307692s Simplifying d = 0.07692307692s
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