p+6=8p-43

Solution for p+6=8p-43 equation:

Simplifying
p + 6 = 8p + -43

Reorder the terms:
6 + p = 8p + -43

Reorder the terms:
6 + p = -43 + 8p

Solving
6 + p = -43 + 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.
6 + p + -8p = -43 + 8p + -8p

Combine like terms: p + -8p = -7p
6 + -7p = -43 + 8p + -8p

Combine like terms: 8p + -8p = 0
6 + -7p = -43 + 0
6 + -7p = -43

Add '-6' to each side of the equation.
6 + -6 + -7p = -43 + -6

Combine like terms: 6 + -6 = 0
0 + -7p = -43 + -6
-7p = -43 + -6

Combine like terms: -43 + -6 = -49
-7p = -49

Divide each side by '-7'.
p = 7

Simplifying
p = 7