How do you solve 0.7z+1.9+0.1z=5.5-0.4z?

Jan 4, 2017

$z = 3$

Explanation:

1) Begin by moving everything with a variable (in this case $z$)to one side.

$.7 z + .1 z + .4 z = 5.5 - 1.9$

2) Then you can factor out the variable with the constants in a parenthesis.

$z \left(.7 + .1 + .4\right) = 5.5 - 1.9$

3) Solve the right side and what's in the parenthesis.

$z \left(1.2\right) = 3.6$

4) Divide the right side by what is in the parenthesis, leaving the variable on the left side.

$z = \frac{3.6}{1.2}$

5) This gives the answer to be $3$