(2p+4)+5(p-1)-(p-7)=

Solution for (2p+4)+5(p-1)-(p-7)= equation:

Simplifying
(2p + 4) + 5(p + -1) + -1(p + -7) = 0

Reorder the terms:
(4 + 2p) + 5(p + -1) + -1(p + -7) = 0

Remove parenthesis around (4 + 2p)
4 + 2p + 5(p + -1) + -1(p + -7) = 0

Reorder the terms:
4 + 2p + 5(-1 + p) + -1(p + -7) = 0
4 + 2p + (-1 * 5 + p * 5) + -1(p + -7) = 0
4 + 2p + (-5 + 5p) + -1(p + -7) = 0

Reorder the terms:
4 + 2p + -5 + 5p + -1(-7 + p) = 0
4 + 2p + -5 + 5p + (-7 * -1 + p * -1) = 0
4 + 2p + -5 + 5p + (7 + -1p) = 0

Reorder the terms:
4 + -5 + 7 + 2p + 5p + -1p = 0

Combine like terms: 4 + -5 = -1
-1 + 7 + 2p + 5p + -1p = 0

Combine like terms: -1 + 7 = 6
6 + 2p + 5p + -1p = 0

Combine like terms: 2p + 5p = 7p
6 + 7p + -1p = 0

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

Solving
6 + 6p = 0

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 6p = 0 + -6

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

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

Divide each side by '6'.
p = -1

Simplifying
p = -1