3(4p+2)-4(2p+9)-8p=

Solution for 3(4p+2)-4(2p+9)-8p= equation:

Simplifying
3(4p + 2) + -4(2p + 9) + -8p = 0

Reorder the terms:
3(2 + 4p) + -4(2p + 9) + -8p = 0
(2 * 3 + 4p * 3) + -4(2p + 9) + -8p = 0
(6 + 12p) + -4(2p + 9) + -8p = 0

Reorder the terms:
6 + 12p + -4(9 + 2p) + -8p = 0
6 + 12p + (9 * -4 + 2p * -4) + -8p = 0
6 + 12p + (-36 + -8p) + -8p = 0

Reorder the terms:
6 + -36 + 12p + -8p + -8p = 0

Combine like terms: 6 + -36 = -30
-30 + 12p + -8p + -8p = 0

Combine like terms: 12p + -8p = 4p
-30 + 4p + -8p = 0

Combine like terms: 4p + -8p = -4p
-30 + -4p = 0

Solving
-30 + -4p = 0

Solving for variable 'p'.

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

Add '30' to each side of the equation.
-30 + 30 + -4p = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -4p = 0 + 30
-4p = 0 + 30

Combine like terms: 0 + 30 = 30
-4p = 30

Divide each side by '-4'.
p = -7.5

Simplifying
p = -7.5