0.006(a+200)+0.1a=172

Solution for 0.006(a+200)+0.1a=172 equation:

Simplifying
0.006(a + 200) + 0.1a = 172

Reorder the terms:
0.006(200 + a) + 0.1a = 172
(200 * 0.006 + a * 0.006) + 0.1a = 172
(1.2 + 0.006a) + 0.1a = 172

Combine like terms: 0.006a + 0.1a = 0.106a
1.2 + 0.106a = 172

Solving
1.2 + 0.106a = 172

Solving for variable 'a'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.106a = 172 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.106a = 172 + -1.2
0.106a = 172 + -1.2

Combine like terms: 172 + -1.2 = 170.8
0.106a = 170.8

Divide each side by '0.106'.
a = 1611.320755

Simplifying
a = 1611.320755