6(p-1)-(p-2)=26

Solution for 6(p-1)-(p-2)=26 equation:

Simplifying
6(p + -1) + -1(p + -2) = 26

Reorder the terms:
6(-1 + p) + -1(p + -2) = 26
(-1 * 6 + p * 6) + -1(p + -2) = 26
(-6 + 6p) + -1(p + -2) = 26

Reorder the terms:
-6 + 6p + -1(-2 + p) = 26
-6 + 6p + (-2 * -1 + p * -1) = 26
-6 + 6p + (2 + -1p) = 26

Reorder the terms:
-6 + 2 + 6p + -1p = 26

Combine like terms: -6 + 2 = -4
-4 + 6p + -1p = 26

Combine like terms: 6p + -1p = 5p
-4 + 5p = 26

Solving
-4 + 5p = 26

Solving for variable 'p'.

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

Add '4' to each side of the equation.
-4 + 4 + 5p = 26 + 4

Combine like terms: -4 + 4 = 0
0 + 5p = 26 + 4
5p = 26 + 4

Combine like terms: 26 + 4 = 30
5p = 30

Divide each side by '5'.
p = 6

Simplifying
p = 6