2p-3(2-2p)=4(p-3)-34

Solution for 2p-3(2-2p)=4(p-3)-34 equation:

Simplifying
2p + -3(2 + -2p) = 4(p + -3) + -34
2p + (2 * -3 + -2p * -3) = 4(p + -3) + -34
2p + (-6 + 6p) = 4(p + -3) + -34

Reorder the terms:
-6 + 2p + 6p = 4(p + -3) + -34

Combine like terms: 2p + 6p = 8p
-6 + 8p = 4(p + -3) + -34

Reorder the terms:
-6 + 8p = 4(-3 + p) + -34
-6 + 8p = (-3 * 4 + p * 4) + -34
-6 + 8p = (-12 + 4p) + -34

Reorder the terms:
-6 + 8p = -12 + -34 + 4p

Combine like terms: -12 + -34 = -46
-6 + 8p = -46 + 4p

Solving
-6 + 8p = -46 + 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 + 8p + -4p = -46 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-6 + 4p = -46 + 4p + -4p

Combine like terms: 4p + -4p = 0
-6 + 4p = -46 + 0
-6 + 4p = -46

Add '6' to each side of the equation.
-6 + 6 + 4p = -46 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -46 + 6
4p = -46 + 6

Combine like terms: -46 + 6 = -40
4p = -40

Divide each side by '4'.
p = -10

Simplifying
p = -10