.1(a+1)=.16(2-a)

Solution for .1(a+1)=.16(2-a) equation:

Simplifying
0.1(a + 1) = 0.16(2 + -1a)

Reorder the terms:
0.1(1 + a) = 0.16(2 + -1a)
(1 * 0.1 + a * 0.1) = 0.16(2 + -1a)
(0.1 + 0.1a) = 0.16(2 + -1a)
0.1 + 0.1a = (2 * 0.16 + -1a * 0.16)
0.1 + 0.1a = (0.32 + -0.16a)

Solving
0.1 + 0.1a = 0.32 + -0.16a

Solving for variable 'a'.

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

Add '0.16a' to each side of the equation.
0.1 + 0.1a + 0.16a = 0.32 + -0.16a + 0.16a

Combine like terms: 0.1a + 0.16a = 0.26a
0.1 + 0.26a = 0.32 + -0.16a + 0.16a

Combine like terms: -0.16a + 0.16a = 0.00
0.1 + 0.26a = 0.32 + 0.00
0.1 + 0.26a = 0.32

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.26a = 0.32 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.26a = 0.32 + -0.1
0.26a = 0.32 + -0.1

Combine like terms: 0.32 + -0.1 = 0.22
0.26a = 0.22

Divide each side by '0.26'.
a = 0.8461538462

Simplifying
a = 0.8461538462