-7p-3(2-5p)=4(p-2)-34

Solution for -7p-3(2-5p)=4(p-2)-34 equation:

Simplifying
-7p + -3(2 + -5p) = 4(p + -2) + -34
-7p + (2 * -3 + -5p * -3) = 4(p + -2) + -34
-7p + (-6 + 15p) = 4(p + -2) + -34

Reorder the terms:
-6 + -7p + 15p = 4(p + -2) + -34

Combine like terms: -7p + 15p = 8p
-6 + 8p = 4(p + -2) + -34

Reorder the terms:
-6 + 8p = 4(-2 + p) + -34
-6 + 8p = (-2 * 4 + p * 4) + -34
-6 + 8p = (-8 + 4p) + -34

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

Combine like terms: -8 + -34 = -42
-6 + 8p = -42 + 4p

Solving
-6 + 8p = -42 + 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 = -42 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-6 + 4p = -42 + 4p + -4p

Combine like terms: 4p + -4p = 0
-6 + 4p = -42 + 0
-6 + 4p = -42

Add '6' to each side of the equation.
-6 + 6 + 4p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -42 + 6
4p = -42 + 6

Combine like terms: -42 + 6 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9