.6(32-p)=p

Solution for .6(32-p)=p equation:

Simplifying
0.6(32 + -1p) = p
(32 * 0.6 + -1p * 0.6) = p
(19.2 + -0.6p) = p

Solving
19.2 + -0.6p = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
19.2 + -0.6p + -1p = p + -1p

Combine like terms: -0.6p + -1p = -1.6p
19.2 + -1.6p = p + -1p

Combine like terms: p + -1p = 0
19.2 + -1.6p = 0

Add '-19.2' to each side of the equation.
19.2 + -19.2 + -1.6p = 0 + -19.2

Combine like terms: 19.2 + -19.2 = 0.0
0.0 + -1.6p = 0 + -19.2
-1.6p = 0 + -19.2

Combine like terms: 0 + -19.2 = -19.2
-1.6p = -19.2

Divide each side by '-1.6'.
p = 12

Simplifying
p = 12