Solve for z z/0.5-3.7=-6.7

$\frac{z}{0.5} - 3.7 = - 6.7$

Simplify each term.

Multiply by $1$ .

$\frac{1 z}{0.5} - 3.7 = - 6.7$

Factor $0.5$ out of $0.5$ .

$\frac{1 z}{0.5 (1)} - 3.7 = - 6.7$

Separate fractions.

$\frac{1}{0.5} \cdot \frac{z}{1} - 3.7 = - 6.7$

Divide $1$ by $0.5$ .

$2 \frac{z}{1} - 3.7 = - 6.7$

Divide $z$ by $1$ .

$2 z - 3.7 = - 6.7$

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

Add $3.7$ to both sides of the equation.

$2 z = - 6.7 + 3.7$

Add $- 6.7$ and $3.7$ .

$2 z = - 3$

Divide each term in $2 z = - 3$ by $2$ and simplify.

Divide each term in $2 z = - 3$ by $2$ .

$\frac{2 z}{2} = \frac{- 3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 z}{2} = \frac{- 3}{2}$

Divide $z$ by $1$ .

$z = \frac{- 3}{2}$

Simplify the right side.

Cancel the common factor of $- 3$ and $2$ .

Rewrite $- 3$ as $1 (- 3)$ .

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

Cancel the common factors.

Rewrite $2$ as $1 (2)$ .

$z = \frac{1 \cdot - 3}{1 \cdot 2}$

Cancel the common factor.

$z = \frac{1 \cdot - 3}{1 \cdot 2}$

Rewrite the expression.

$z = \frac{- 3}{2}$

Move the negative in front of the fraction.

$z = - \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$z = - \frac{3}{2}$

Decimal Form:

$z = - 1.5$

Mixed Number Form:

$z = - 1 \frac{1}{2}$

Solve for z z/0.5-3.7=-6.7

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