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

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

Simplifying
-2p + 6 = 2(4p + -2) + -6(-2 + 2p)

Reorder the terms:
6 + -2p = 2(4p + -2) + -6(-2 + 2p)

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

Reorder the terms:
6 + -2p = -4 + 12 + 8p + -12p

Combine like terms: -4 + 12 = 8
6 + -2p = 8 + 8p + -12p

Combine like terms: 8p + -12p = -4p
6 + -2p = 8 + -4p

Solving
6 + -2p = 8 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
6 + -2p + 4p = 8 + -4p + 4p

Combine like terms: -2p + 4p = 2p
6 + 2p = 8 + -4p + 4p

Combine like terms: -4p + 4p = 0
6 + 2p = 8 + 0
6 + 2p = 8

Add '-6' to each side of the equation.
6 + -6 + 2p = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2p = 8 + -6
2p = 8 + -6

Combine like terms: 8 + -6 = 2
2p = 2

Divide each side by '2'.
p = 1

Simplifying
p = 1