6+5p=-4p-8(-5+p)

Solution for 6+5p=-4p-8(-5+p) equation:

Simplifying
6 + 5p = -4p + -8(-5 + p)
6 + 5p = -4p + (-5 * -8 + p * -8)
6 + 5p = -4p + (40 + -8p)

Reorder the terms:
6 + 5p = 40 + -4p + -8p

Combine like terms: -4p + -8p = -12p
6 + 5p = 40 + -12p

Solving
6 + 5p = 40 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
6 + 5p + 12p = 40 + -12p + 12p

Combine like terms: 5p + 12p = 17p
6 + 17p = 40 + -12p + 12p

Combine like terms: -12p + 12p = 0
6 + 17p = 40 + 0
6 + 17p = 40

Add '-6' to each side of the equation.
6 + -6 + 17p = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 17p = 40 + -6
17p = 40 + -6

Combine like terms: 40 + -6 = 34
17p = 34

Divide each side by '17'.
p = 2

Simplifying
p = 2