0.7A+0.2(1-A)=A

Solution for 0.7A+0.2(1-A)=A equation:

Simplifying
0.7A + 0.2(1 + -1A) = A
0.7A + (1 * 0.2 + -1A * 0.2) = A
0.7A + (0.2 + -0.2A) = A

Reorder the terms:
0.2 + 0.7A + -0.2A = A

Combine like terms: 0.7A + -0.2A = 0.5A
0.2 + 0.5A = A

Solving
0.2 + 0.5A = A

Solving for variable 'A'.

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

Add '-1A' to each side of the equation.
0.2 + 0.5A + -1A = A + -1A

Combine like terms: 0.5A + -1A = -0.5A
0.2 + -0.5A = A + -1A

Combine like terms: A + -1A = 0
0.2 + -0.5A = 0

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.5A = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.5A = 0 + -0.2
-0.5A = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.5A = -0.2

Divide each side by '-0.5'.
A = 0.4

Simplifying
A = 0.4