-4(-4p-5)=2[-2p-3(-p+1)]

Solution for -4(-4p-5)=2[-2p-3(-p+1)] equation:

Simplifying
-4(-4p + -5) = 2[-2p + -3(-1p + 1)]

Reorder the terms:
-4(-5 + -4p) = 2[-2p + -3(-1p + 1)]
(-5 * -4 + -4p * -4) = 2[-2p + -3(-1p + 1)]
(20 + 16p) = 2[-2p + -3(-1p + 1)]

Reorder the terms:
20 + 16p = 2[-2p + -3(1 + -1p)]
20 + 16p = 2[-2p + (1 * -3 + -1p * -3)]
20 + 16p = 2[-2p + (-3 + 3p)]

Reorder the terms:
20 + 16p = 2[-3 + -2p + 3p]

Combine like terms: -2p + 3p = 1p
20 + 16p = 2[-3 + 1p]
20 + 16p = [-3 * 2 + 1p * 2]
20 + 16p = [-6 + 2p]

Solving
20 + 16p = -6 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
20 + 16p + -2p = -6 + 2p + -2p

Combine like terms: 16p + -2p = 14p
20 + 14p = -6 + 2p + -2p

Combine like terms: 2p + -2p = 0
20 + 14p = -6 + 0
20 + 14p = -6

Add '-20' to each side of the equation.
20 + -20 + 14p = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 14p = -6 + -20
14p = -6 + -20

Combine like terms: -6 + -20 = -26
14p = -26

Divide each side by '14'.
p = -1.857142857

Simplifying
p = -1.857142857