6(p-1)=2(1+8p)-6p

Solution for 6(p-1)=2(1+8p)-6p equation:

Simplifying
6(p + -1) = 2(1 + 8p) + -6p

Reorder the terms:
6(-1 + p) = 2(1 + 8p) + -6p
(-1 * 6 + p * 6) = 2(1 + 8p) + -6p
(-6 + 6p) = 2(1 + 8p) + -6p
-6 + 6p = (1 * 2 + 8p * 2) + -6p
-6 + 6p = (2 + 16p) + -6p

Combine like terms: 16p + -6p = 10p
-6 + 6p = 2 + 10p

Solving
-6 + 6p = 2 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-6 + 6p + -10p = 2 + 10p + -10p

Combine like terms: 6p + -10p = -4p
-6 + -4p = 2 + 10p + -10p

Combine like terms: 10p + -10p = 0
-6 + -4p = 2 + 0
-6 + -4p = 2

Add '6' to each side of the equation.
-6 + 6 + -4p = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -4p = 2 + 6
-4p = 2 + 6

Combine like terms: 2 + 6 = 8
-4p = 8

Divide each side by '-4'.
p = -2

Simplifying
p = -2