Basic Math Examples

$9 z - 2 z = - 6 z - 4 - 7 z$

Step 1

Subtract $2 z$ from $9 z$ .

$7 z = - 6 z - 4 - 7 z$

Step 2

Subtract $7 z$ from $- 6 z$ .

$7 z = - 13 z - 4$

Step 3

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

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Step 3.1

Add $13 z$ to both sides of the equation.

$7 z + 13 z = - 4$

Step 3.2

Add $7 z$ and $13 z$ .

$20 z = - 4$

$20 z = - 4$

Step 4

Divide each term in $20 z = - 4$ by $20$ and simplify.

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Step 4.1

Divide each term in $20 z = - 4$ by $20$ .

$\frac{20 z}{20} = \frac{- 4}{20}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $20$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{20 z}{20} = \frac{- 4}{20}$

Step 4.2.1.2

Divide $z$ by $1$ .

$z = \frac{- 4}{20}$

$z = \frac{- 4}{20}$

$z = \frac{- 4}{20}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $- 4$ and $20$ .

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Step 4.3.1.1

Factor $4$ out of $- 4$ .

$z = \frac{4 (- 1)}{20}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $4$ out of $20$ .

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

Step 4.3.1.2.2

Cancel the common factor.

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

Step 4.3.1.2.3

Rewrite the expression.

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

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

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

Step 4.3.2

Move the negative in front of the fraction.

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

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

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$z = - 0.2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$