Solve for z -7z-5z=4/5

$- 7 z - 5 z = \frac{4}{5}$

Subtract $5 z$ from $- 7 z$ .

$- 12 z = \frac{4}{5}$

Divide each term by $- 12$ and simplify.

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Divide each term in $- 12 z = \frac{4}{5}$ by $- 12$ .

$\frac{- 12 z}{- 12} = \frac{4}{5} \cdot (- \frac{1}{12})$

Cancel the common factor of $- 12$ .

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Cancel the common factor.

$\frac{- 12 z}{- 12} = \frac{4}{5} \cdot (- \frac{1}{12})$

Divide $z$ by $1$ .

$z = \frac{4}{5} \cdot (- \frac{1}{12})$

Simplify $\frac{4}{5} \cdot (- \frac{1}{12})$ .

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Cancel the common factor of $4$ .

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Move the leading negative in $- \frac{1}{12}$ into the numerator.

$z = \frac{4}{5} \cdot \frac{- 1}{12}$

Factor $4$ out of $12$ .

$z = \frac{4}{5} \cdot \frac{- 1}{4 (3)}$

Cancel the common factor.

$z = \frac{4}{5} \cdot \frac{- 1}{4 \cdot 3}$

Rewrite the expression.

$z = \frac{1}{5} \cdot \frac{- 1}{3}$

Multiply $\frac{1}{5}$ and $\frac{- 1}{3}$ .

$z = \frac{- 1}{5 \cdot 3}$

Simplify the expression.

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Multiply $5$ by $3$ .

$z = \frac{- 1}{15}$

Move the negative in front of the fraction.

$z = - \frac{1}{15}$

The result can be shown in multiple forms.

Exact Form:

$z = - \frac{1}{15}$

Decimal Form:

$z = - 0.0\overline{6}$

Solve for z -7z-5z=4/5