-89=-p-5(1-3p)

Solution for -89=-p-5(1-3p) equation:

Simplifying
-89 = -1p + -5(1 + -3p)
-89 = -1p + (1 * -5 + -3p * -5)
-89 = -1p + (-5 + 15p)

Reorder the terms:
-89 = -5 + -1p + 15p

Combine like terms: -1p + 15p = 14p
-89 = -5 + 14p

Solving
-89 = -5 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
-89 + -14p = -5 + 14p + -14p

Combine like terms: 14p + -14p = 0
-89 + -14p = -5 + 0
-89 + -14p = -5

Add '89' to each side of the equation.
-89 + 89 + -14p = -5 + 89

Combine like terms: -89 + 89 = 0
0 + -14p = -5 + 89
-14p = -5 + 89

Combine like terms: -5 + 89 = 84
-14p = 84

Divide each side by '-14'.
p = -6

Simplifying
p = -6