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5(3p+5)-12=-5(5-8p)-12
We simplify the equation to the form, which is simple to understand
5(3p+5)-12=-5(5-8p)-12
Reorder the terms in parentheses
+(+15p+25)-12=-5*(5-8p)-12
Remove unnecessary parentheses
+15p+25-12=-5+*(+5-8p+)-12
Reorder the terms in parentheses
+15p+25-12=+(-25+40p)-12
Remove unnecessary parentheses
+15p+25-12=-25+40p-12
We move all terms containing p to the left and all other terms to the right.
+15p-40p=-25-12-25+12
We simplify left and right side of the equation.
-25p=-50
We divide both sides of the equation by -25 to get p.
p=2
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