4(p-8)=-(p+3)+6

Solution for 4(p-8)=-(p+3)+6 equation:

Simplifying
4(p + -8) = -1(p + 3) + 6

Reorder the terms:
4(-8 + p) = -1(p + 3) + 6
(-8 * 4 + p * 4) = -1(p + 3) + 6
(-32 + 4p) = -1(p + 3) + 6

Reorder the terms:
-32 + 4p = -1(3 + p) + 6
-32 + 4p = (3 * -1 + p * -1) + 6
-32 + 4p = (-3 + -1p) + 6

Reorder the terms:
-32 + 4p = -3 + 6 + -1p

Combine like terms: -3 + 6 = 3
-32 + 4p = 3 + -1p

Solving
-32 + 4p = 3 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-32 + 4p + p = 3 + -1p + p

Combine like terms: 4p + p = 5p
-32 + 5p = 3 + -1p + p

Combine like terms: -1p + p = 0
-32 + 5p = 3 + 0
-32 + 5p = 3

Add '32' to each side of the equation.
-32 + 32 + 5p = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 5p = 3 + 32
5p = 3 + 32

Combine like terms: 3 + 32 = 35
5p = 35

Divide each side by '5'.
p = 7

Simplifying
p = 7