7(p-6)=8p-34

Solution for 7(p-6)=8p-34 equation:

Simplifying
7(p + -6) = 8p + -34

Reorder the terms:
7(-6 + p) = 8p + -34
(-6 * 7 + p * 7) = 8p + -34
(-42 + 7p) = 8p + -34

Reorder the terms:
-42 + 7p = -34 + 8p

Solving
-42 + 7p = -34 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-42 + 7p + -8p = -34 + 8p + -8p

Combine like terms: 7p + -8p = -1p
-42 + -1p = -34 + 8p + -8p

Combine like terms: 8p + -8p = 0
-42 + -1p = -34 + 0
-42 + -1p = -34

Add '42' to each side of the equation.
-42 + 42 + -1p = -34 + 42

Combine like terms: -42 + 42 = 0
0 + -1p = -34 + 42
-1p = -34 + 42

Combine like terms: -34 + 42 = 8
-1p = 8

Divide each side by '-1'.
p = -8

Simplifying
p = -8