1p+0(1+-1p)=0p+2(1+-1p)

Solution for 1p+0(1+-1p)=0p+2(1+-1p) equation:

Simplifying
1p + 0(1 + -1p) = 0p + 2(1 + -1p)

Anything times zero is zero.
1p + 0(1 + -1p) = 0p + 2(1 + -1p)

Reorder the terms:
0 + 1p = 0p + 2(1 + -1p)
Remove the zero:
1p = 0p + 2(1 + -1p)

Anything times zero is zero.
1p = 0p + 2(1 + -1p)
1p = 0 + (1 * 2 + -1p * 2)
1p = 0 + (2 + -2p)

Combine like terms: 0 + 2 = 2
1p = 2 + -2p

Solving
1p = 2 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
1p + 2p = 2 + -2p + 2p

Combine like terms: 1p + 2p = 3p
3p = 2 + -2p + 2p

Combine like terms: -2p + 2p = 0
3p = 2 + 0
3p = 2

Divide each side by '3'.
p = 0.6666666667

Simplifying
p = 0.6666666667