(1+a)(.20)-a(.10)=.26

Solution for (1+a)(.20)-a(.10)=.26 equation:

Simplifying
(1 + a)(0.20) + -1a(0.10) = 0.26

Reorder the terms for easier multiplication:
0.20(1 + a) + -1a(0.10) = 0.26
(1 * 0.20 + a * 0.20) + -1a(0.10) = 0.26
(0.2 + 0.20a) + -1a(0.10) = 0.26

Reorder the terms for easier multiplication:
0.2 + 0.20a + -1 * 0.10a = 0.26

Multiply -1 * 0.10
0.2 + 0.20a + -0.1a = 0.26

Combine like terms: 0.20a + -0.1a = 0.1a
0.2 + 0.1a = 0.26

Solving
0.2 + 0.1a = 0.26

Solving for variable 'a'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.1a = 0.26 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.1a = 0.26 + -0.2
0.1a = 0.26 + -0.2

Combine like terms: 0.26 + -0.2 = 0.06
0.1a = 0.06

Divide each side by '0.1'.
a = 0.6

Simplifying
a = 0.6