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3(d-8)-9(d+2)=6
We move all terms to the left:
3(d-8)-9(d+2)-(6)=0
We multiply parentheses
3d-9d-24-18-6=0
We add all the numbers together, and all the variables
-6d-48=0
We move all terms containing d to the left, all other terms to the right
-6d=48
d=48/-6
d=-8
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