86p+42(1-p)=36p+106(1-p)

Solution for 86p+42(1-p)=36p+106(1-p) equation:

Simplifying
86p + 42(1 + -1p) = 36p + 106(1 + -1p)
86p + (1 * 42 + -1p * 42) = 36p + 106(1 + -1p)
86p + (42 + -42p) = 36p + 106(1 + -1p)

Reorder the terms:
42 + 86p + -42p = 36p + 106(1 + -1p)

Combine like terms: 86p + -42p = 44p
42 + 44p = 36p + 106(1 + -1p)
42 + 44p = 36p + (1 * 106 + -1p * 106)
42 + 44p = 36p + (106 + -106p)

Reorder the terms:
42 + 44p = 106 + 36p + -106p

Combine like terms: 36p + -106p = -70p
42 + 44p = 106 + -70p

Solving
42 + 44p = 106 + -70p

Solving for variable 'p'.

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

Add '70p' to each side of the equation.
42 + 44p + 70p = 106 + -70p + 70p

Combine like terms: 44p + 70p = 114p
42 + 114p = 106 + -70p + 70p

Combine like terms: -70p + 70p = 0
42 + 114p = 106 + 0
42 + 114p = 106

Add '-42' to each side of the equation.
42 + -42 + 114p = 106 + -42

Combine like terms: 42 + -42 = 0
0 + 114p = 106 + -42
114p = 106 + -42

Combine like terms: 106 + -42 = 64
114p = 64

Divide each side by '114'.
p = 0.5614035088

Simplifying
p = 0.5614035088