1P+0(1-p)=0p+1(1-p)

Solution for 1P+0(1-p)=0p+1(1-p) equation:

Simplifying
1P + 0(1 + -1p) = 0p + 1(1 + -1p)

Anything times zero is zero.
1P + 0(1 + -1p) = 0p + 1(1 + -1p)

Reorder the terms:
0 + 1P = 0p + 1(1 + -1p)
Remove the zero:
1P = 0p + 1(1 + -1p)

Anything times zero is zero.
1P = 0p + 1(1 + -1p)
1P = 0 + (1 * 1 + -1p * 1)
1P = 0 + (1 + -1p)

Combine like terms: 0 + 1 = 1
1P = 1 + -1p

Solving
1P = 1 + -1p

Solving for variable 'P'.

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

Divide each side by '1'.
P = 1 + -1p

Simplifying
P = 1 + -1p