3(2p+6)-4(p-8)=

Solution for 3(2p+6)-4(p-8)= equation:

Simplifying
3(2p + 6) + -4(p + -8) = 0

Reorder the terms:
3(6 + 2p) + -4(p + -8) = 0
(6 * 3 + 2p * 3) + -4(p + -8) = 0
(18 + 6p) + -4(p + -8) = 0

Reorder the terms:
18 + 6p + -4(-8 + p) = 0
18 + 6p + (-8 * -4 + p * -4) = 0
18 + 6p + (32 + -4p) = 0

Reorder the terms:
18 + 32 + 6p + -4p = 0

Combine like terms: 18 + 32 = 50
50 + 6p + -4p = 0

Combine like terms: 6p + -4p = 2p
50 + 2p = 0

Solving
50 + 2p = 0

Solving for variable 'p'.

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

Add '-50' to each side of the equation.
50 + -50 + 2p = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 2p = 0 + -50
2p = 0 + -50

Combine like terms: 0 + -50 = -50
2p = -50

Divide each side by '2'.
p = -25

Simplifying
p = -25