109=-8p-5(p-1)

Solution for 109=-8p-5(p-1) equation:

Simplifying
109 = -8p + -5(p + -1)

Reorder the terms:
109 = -8p + -5(-1 + p)
109 = -8p + (-1 * -5 + p * -5)
109 = -8p + (5 + -5p)

Reorder the terms:
109 = 5 + -8p + -5p

Combine like terms: -8p + -5p = -13p
109 = 5 + -13p

Solving
109 = 5 + -13p

Solving for variable 'p'.

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

Add '13p' to each side of the equation.
109 + 13p = 5 + -13p + 13p

Combine like terms: -13p + 13p = 0
109 + 13p = 5 + 0
109 + 13p = 5

Add '-109' to each side of the equation.
109 + -109 + 13p = 5 + -109

Combine like terms: 109 + -109 = 0
0 + 13p = 5 + -109
13p = 5 + -109

Combine like terms: 5 + -109 = -104
13p = -104

Divide each side by '13'.
p = -8

Simplifying
p = -8