Solve for z -z/0.5+1.4=-3

$- \frac{z}{0.5} + 1.4 = - 3$

Simplify each term.

Multiply by $1$ .

$- \frac{1 z}{0.5} + 1.4 = - 3$

Factor $0.5$ out of $0.5$ .

$- \frac{1 z}{0.5 (1)} + 1.4 = - 3$

Separate fractions.

$- (\frac{1}{0.5} \cdot \frac{z}{1}) + 1.4 = - 3$

Divide $1$ by $0.5$ .

$- (2 \frac{z}{1}) + 1.4 = - 3$

Divide $z$ by $1$ .

$- (2 z) + 1.4 = - 3$

Multiply $2$ by $- 1$ .

$- 2 z + 1.4 = - 3$

Move all terms not containing $z$ to the right side of the equation.

Subtract $1.4$ from both sides of the equation.

$- 2 z = - 3 - 1.4$

Subtract $1.4$ from $- 3$ .

$- 2 z = - 4.4$

Divide each term in $- 2 z = - 4.4$ by $- 2$ and simplify.

Divide each term in $- 2 z = - 4.4$ by $- 2$ .

$\frac{- 2 z}{- 2} = \frac{- 4.4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 z}{- 2} = \frac{- 4.4}{- 2}$

Divide $z$ by $1$ .

$z = \frac{- 4.4}{- 2}$

Simplify the right side.

Divide $- 4.4$ by $- 2$ .

$z = 2.2$