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7(2+5d)+8(6-6d)=52
We simplify the equation to the form, which is simple to understand
7(2+5d)+8(6-6d)=52
Reorder the terms in parentheses
+(+14+35d)+8*(6-6d)=52
Remove unnecessary parentheses
+14+35d+8+*(+6-6d+)=+52
Reorder the terms in parentheses
+14+35d+(+48-48d)=52
Remove unnecessary parentheses
+14+35d+48-48d=+52
We move all terms containing d to the left and all other terms to the right.
+35d-48d=+52-14-48
We simplify left and right side of the equation.
-13d=-10
We divide both sides of the equation by -13 to get d.
d=0.76923076923077
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