.2I+4(.3+.2I)=2.2

Solution for .2I+4(.3+.2I)=2.2 equation:

Simplifying
0.2I + 4(0.3 + 0.2I) = 2.2
0.2I + (0.3 * 4 + 0.2I * 4) = 2.2
0.2I + (1.2 + 0.8I) = 2.2

Reorder the terms:
1.2 + 0.2I + 0.8I = 2.2

Combine like terms: 0.2I + 0.8I = 1I
1.2 + 1I = 2.2

Solving
1.2 + 1I = 2.2

Solving for variable 'I'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 1I = 2.2 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1I = 2.2 + -1.2
1I = 2.2 + -1.2

Combine like terms: 2.2 + -1.2 = 1
1I = 1

Divide each side by '1'.
I = 1

Simplifying
I = 1