-59=-7(1+2p)-8(4p-5)

Solution for -59=-7(1+2p)-8(4p-5) equation:

-59=-7(1+2p)-8(4p-5)

We simplify the equation to the form, which is simple to understand 
-59=-7(1+2p)-8(4p-5)

Reorder the terms in parentheses
-59=+(-7-14p)-8*(4p-5)

Remove unnecessary parentheses
-59=-7-14p-8+*(+4p-5+)

Reorder the terms in parentheses
-59=-7-14p+(-32p+40)

Remove unnecessary parentheses
-59=-7-14p-32p+40

We move all terms containing p to the left and all other terms to the right. 
+14p+32p=-7+40+59

We simplify left and right side of the equation. 
+46p=+92

We divide both sides of the equation by 46 to get p. 
p=2