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

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

Simplifying
5(1 + -1p) + 7(p + -8) = -59
(1 * 5 + -1p * 5) + 7(p + -8) = -59
(5 + -5p) + 7(p + -8) = -59

Reorder the terms:
5 + -5p + 7(-8 + p) = -59
5 + -5p + (-8 * 7 + p * 7) = -59
5 + -5p + (-56 + 7p) = -59

Reorder the terms:
5 + -56 + -5p + 7p = -59

Combine like terms: 5 + -56 = -51
-51 + -5p + 7p = -59

Combine like terms: -5p + 7p = 2p
-51 + 2p = -59

Solving
-51 + 2p = -59

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '51' to each side of the equation.
-51 + 51 + 2p = -59 + 51

Combine like terms: -51 + 51 = 0
0 + 2p = -59 + 51
2p = -59 + 51

Combine like terms: -59 + 51 = -8
2p = -8

Divide each side by '2'.
p = -4

Simplifying
p = -4