6-2(q-3p)=4p

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

Simplifying
6 + -2(q + -3p) = 4p

Reorder the terms:
6 + -2(-3p + q) = 4p
6 + (-3p * -2 + q * -2) = 4p
6 + (6p + -2q) = 4p

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

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

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

Add '-6' to each side of the equation.
6 + 2p + -6 + -2q = 0 + -6

Reorder the terms:
6 + -6 + 2p + -2q = 0 + -6

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

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

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

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

Divide each side by '2'.
p = -3 + q

Simplifying
p = -3 + q