-39=3(1-4p)+7(2p-8)

Solution for -39=3(1-4p)+7(2p-8) equation:

Simplifying
-39 = 3(1 + -4p) + 7(2p + -8)
-39 = (1 * 3 + -4p * 3) + 7(2p + -8)
-39 = (3 + -12p) + 7(2p + -8)

Reorder the terms:
-39 = 3 + -12p + 7(-8 + 2p)
-39 = 3 + -12p + (-8 * 7 + 2p * 7)
-39 = 3 + -12p + (-56 + 14p)

Reorder the terms:
-39 = 3 + -56 + -12p + 14p

Combine like terms: 3 + -56 = -53
-39 = -53 + -12p + 14p

Combine like terms: -12p + 14p = 2p
-39 = -53 + 2p

Solving
-39 = -53 + 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.
-39 + -2p = -53 + 2p + -2p

Combine like terms: 2p + -2p = 0
-39 + -2p = -53 + 0
-39 + -2p = -53

Add '39' to each side of the equation.
-39 + 39 + -2p = -53 + 39

Combine like terms: -39 + 39 = 0
0 + -2p = -53 + 39
-2p = -53 + 39

Combine like terms: -53 + 39 = -14
-2p = -14

Divide each side by '-2'.
p = 7

Simplifying
p = 7