6+p=-p+4(-8p-7)

Solution for 6+p=-p+4(-8p-7) equation:

Simplifying
6 + p = -1p + 4(-8p + -7)

Reorder the terms:
6 + p = -1p + 4(-7 + -8p)
6 + p = -1p + (-7 * 4 + -8p * 4)
6 + p = -1p + (-28 + -32p)

Reorder the terms:
6 + p = -28 + -1p + -32p

Combine like terms: -1p + -32p = -33p
6 + p = -28 + -33p

Solving
6 + p = -28 + -33p

Solving for variable 'p'.

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

Add '33p' to each side of the equation.
6 + p + 33p = -28 + -33p + 33p

Combine like terms: p + 33p = 34p
6 + 34p = -28 + -33p + 33p

Combine like terms: -33p + 33p = 0
6 + 34p = -28 + 0
6 + 34p = -28

Add '-6' to each side of the equation.
6 + -6 + 34p = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 34p = -28 + -6
34p = -28 + -6

Combine like terms: -28 + -6 = -34
34p = -34

Divide each side by '34'.
p = -1

Simplifying
p = -1