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

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

Simplifying
3(4p + 2) = 7p + -34

Reorder the terms:
3(2 + 4p) = 7p + -34
(2 * 3 + 4p * 3) = 7p + -34
(6 + 12p) = 7p + -34

Reorder the terms:
6 + 12p = -34 + 7p

Solving
6 + 12p = -34 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
6 + 12p + -7p = -34 + 7p + -7p

Combine like terms: 12p + -7p = 5p
6 + 5p = -34 + 7p + -7p

Combine like terms: 7p + -7p = 0
6 + 5p = -34 + 0
6 + 5p = -34

Add '-6' to each side of the equation.
6 + -6 + 5p = -34 + -6

Combine like terms: 6 + -6 = 0
0 + 5p = -34 + -6
5p = -34 + -6

Combine like terms: -34 + -6 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8