0.1(a-0.2)=1.2-2.4

Solution for 0.1(a-0.2)=1.2-2.4 equation:

Simplifying
0.1(a + -0.2) = 1.2 + -2.4

Reorder the terms:
0.1(-0.2 + a) = 1.2 + -2.4
(-0.2 * 0.1 + a * 0.1) = 1.2 + -2.4
(-0.02 + 0.1a) = 1.2 + -2.4

Combine like terms: 1.2 + -2.4 = -1.2
-0.02 + 0.1a = -1.2

Solving
-0.02 + 0.1a = -1.2

Solving for variable 'a'.

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

Add '0.02' to each side of the equation.
-0.02 + 0.02 + 0.1a = -1.2 + 0.02

Combine like terms: -0.02 + 0.02 = 0.00
0.00 + 0.1a = -1.2 + 0.02
0.1a = -1.2 + 0.02

Combine like terms: -1.2 + 0.02 = -1.18
0.1a = -1.18

Divide each side by '0.1'.
a = -11.8

Simplifying
a = -11.8