-2+8=6-(7p+5)

Solution for -2+8=6-(7p+5) equation:

Simplifying
-2 + 8 = 6 + -1(7p + 5)

Combine like terms: -2 + 8 = 6
6 = 6 + -1(7p + 5)

Reorder the terms:
6 = 6 + -1(5 + 7p)
6 = 6 + (5 * -1 + 7p * -1)
6 = 6 + (-5 + -7p)

Combine like terms: 6 + -5 = 1
6 = 1 + -7p

Solving
6 = 1 + -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 + 7p = 1 + -7p + 7p

Combine like terms: -7p + 7p = 0
6 + 7p = 1 + 0
6 + 7p = 1

Add '-6' to each side of the equation.
6 + -6 + 7p = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 7p = 1 + -6
7p = 1 + -6

Combine like terms: 1 + -6 = -5
7p = -5

Divide each side by '7'.
p = -0.7142857143

Simplifying
p = -0.7142857143