52(p)+42(1-p)=50

Solution for 52(p)+42(1-p)=50 equation:

Simplifying
52(p) + 42(1 + -1p) = 50
52p + (1 * 42 + -1p * 42) = 50
52p + (42 + -42p) = 50

Reorder the terms:
42 + 52p + -42p = 50

Combine like terms: 52p + -42p = 10p
42 + 10p = 50

Solving
42 + 10p = 50

Solving for variable 'p'.

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

Add '-42' to each side of the equation.
42 + -42 + 10p = 50 + -42

Combine like terms: 42 + -42 = 0
0 + 10p = 50 + -42
10p = 50 + -42

Combine like terms: 50 + -42 = 8
10p = 8

Divide each side by '10'.
p = 0.8

Simplifying
p = 0.8