.2(4z+6)=3.6

Solution for .2(4z+6)=3.6 equation:

Simplifying
0.2(4z + 6) = 3.6

Reorder the terms:
0.2(6 + 4z) = 3.6
(6 * 0.2 + 4z * 0.2) = 3.6
(1.2 + 0.8z) = 3.6

Solving
1.2 + 0.8z = 3.6

Solving for variable 'z'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.8z = 3.6 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.8z = 3.6 + -1.2
0.8z = 3.6 + -1.2

Combine like terms: 3.6 + -1.2 = 2.4
0.8z = 2.4

Divide each side by '0.8'.
z = 3

Simplifying
z = 3