3(2-z)*0.2=z

Solution for 3(2-z)*0.2=z equation:

Simplifying
3(2 + -1z) * 0.2 = z

Reorder the terms for easier multiplication:
3 * 0.2(2 + -1z) = z

Multiply 3 * 0.2
0.6(2 + -1z) = z
(2 * 0.6 + -1z * 0.6) = z
(1.2 + -0.6z) = z

Solving
1.2 + -0.6z = z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
1.2 + -0.6z + -1z = z + -1z

Combine like terms: -0.6z + -1z = -1.6z
1.2 + -1.6z = z + -1z

Combine like terms: z + -1z = 0
1.2 + -1.6z = 0

Add '-1.2' to each side of the equation.
1.2 + -1.2 + -1.6z = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.6z = 0 + -1.2
-1.6z = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.6z = -1.2

Divide each side by '-1.6'.
z = 0.75

Simplifying
z = 0.75