Basic Math Examples

$z - 9 z = 7 z - 1 - z$

Step 1

Subtract $9 z$ from $z$ .

$- 8 z = 7 z - 1 - z$

Step 2

Subtract $z$ from $7 z$ .

$- 8 z = 6 z - 1$

Step 3

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

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Step 3.1

Subtract $6 z$ from both sides of the equation.

$- 8 z - 6 z = - 1$

Step 3.2

Subtract $6 z$ from $- 8 z$ .

$- 14 z = - 1$

Step 4

Divide each term in $- 14 z = - 1$ by $- 14$ and simplify.

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Step 4.1

Divide each term in $- 14 z = - 1$ by $- 14$ .

$\frac{- 14 z}{- 14} = \frac{- 1}{- 14}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 14$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 14 z}{- 14} = \frac{- 1}{- 14}$

Step 4.2.1.2

Divide $z$ by $1$ .

$z = \frac{- 1}{- 14}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Dividing two negative values results in a positive value.

$z = \frac{1}{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$z = \frac{1}{14}$

Decimal Form:

$z = 0.0\overline{714285}$