0.06(a+200)+.1a=172

Solution for 0.06(a+200)+.1a=172 equation:

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

Reorder the terms:
0.06(200 + a) + 0.1a = 172
(200 * 0.06 + a * 0.06) + 0.1a = 172
(12 + 0.06a) + 0.1a = 172

Combine like terms: 0.06a + 0.1a = 0.16a
12 + 0.16a = 172

Solving
12 + 0.16a = 172

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 0.16a = 172 + -12

Combine like terms: 12 + -12 = 0
0 + 0.16a = 172 + -12
0.16a = 172 + -12

Combine like terms: 172 + -12 = 160
0.16a = 160

Divide each side by '0.16'.
a = 1000

Simplifying
a = 1000