Solve for z 0.2z-0.09=-0.03z

$0.2 z - 0.09 = - 0.03 z$

Move all terms containing $z$ to the left side of the equation.

Add $0.03 z$ to both sides of the equation.

$0.2 z - 0.09 + 0.03 z = 0$

Add $0.2 z$ and $0.03 z$ .

$0.23 z - 0.09 = 0$

Add $0.09$ to both sides of the equation.

$0.23 z = 0.09$

Divide each term in $0.23 z = 0.09$ by $0.23$ and simplify.

Divide each term in $0.23 z = 0.09$ by $0.23$ .

$\frac{0.23 z}{0.23} = \frac{0.09}{0.23}$

Simplify the left side.

Cancel the common factor of $0.23$ .

Cancel the common factor.

$\frac{0.23 z}{0.23} = \frac{0.09}{0.23}$

Divide $z$ by $1$ .

$z = \frac{0.09}{0.23}$

Simplify the right side.

Divide $0.09$ by $0.23$ .

$z = 0.39130434$