-89=-8p+5(4p+1)

Solution for -89=-8p+5(4p+1) equation:

Simplifying
-89 = -8p + 5(4p + 1)

Reorder the terms:
-89 = -8p + 5(1 + 4p)
-89 = -8p + (1 * 5 + 4p * 5)
-89 = -8p + (5 + 20p)

Reorder the terms:
-89 = 5 + -8p + 20p

Combine like terms: -8p + 20p = 12p
-89 = 5 + 12p

Solving
-89 = 5 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-89 + -12p = 5 + 12p + -12p

Combine like terms: 12p + -12p = 0
-89 + -12p = 5 + 0
-89 + -12p = 5

Add '89' to each side of the equation.
-89 + 89 + -12p = 5 + 89

Combine like terms: -89 + 89 = 0
0 + -12p = 5 + 89
-12p = 5 + 89

Combine like terms: 5 + 89 = 94
-12p = 94

Divide each side by '-12'.
p = -7.833333333

Simplifying
p = -7.833333333