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3(p-2)=4(p-9)-5(8+3p)
We simplify the equation to the form, which is simple to understand
3(p-2)=4(p-9)-5(8+3p)
Reorder the terms in parentheses
+(+3p-6)=4*(p-9)-5*(8+3p)
Remove unnecessary parentheses
+3p-6=+4+*(+p-9+)-5+*(+8+3p+)
Reorder the terms in parentheses
+3p-6=+(+4p-36)-5*(8+3p)
Remove unnecessary parentheses
+3p-6=+4p-36-5+*(+8+3p+)
Reorder the terms in parentheses
+3p-6=+4p-36+(-40-15p)
Remove unnecessary parentheses
+3p-6=+4p-36-40-15p
We move all terms containing p to the left and all other terms to the right.
+3p-4p+15p=-36-40+6
We simplify left and right side of the equation.
+14p=-70
We divide both sides of the equation by 14 to get p.
p=-5
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