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8d+(-9d+6)=15
We move all terms to the left:
8d+(-9d+6)-(15)=0
We get rid of parentheses
8d-9d+6-15=0
We add all the numbers together, and all the variables
-1d-9=0
We move all terms containing d to the left, all other terms to the right
-d=9
d=9/-1
d=-9
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