Basic Math Examples

$(8 z - 10) \div (- 2) + 5 (z - 1)$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$\frac{8 z - 10}{- 2} + 5 (z - 1)$

Step 1.2

Cancel the common factor of $8 z - 10$ and $- 2$ .

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Step 1.2.1

Factor $2$ out of $8 z$ .

$\frac{2 (4 z) - 10}{- 2} + 5 (z - 1)$

Step 1.2.2

Factor $2$ out of $- 10$ .

$\frac{2 (4 z) + 2 (- 5)}{- 2} + 5 (z - 1)$

Step 1.2.3

Factor $2$ out of $2 (4 z) + 2 (- 5)$ .

$\frac{2 (4 z - 5)}{- 2} + 5 (z - 1)$

Step 1.2.4

Move the negative one from the denominator of $\frac{4 z - 5}{- 1}$ .

$- 1 \cdot (4 z - 5) + 5 (z - 1)$

Step 1.3

Rewrite $- 1 \cdot (4 z - 5)$ as $- (4 z - 5)$ .

$- (4 z - 5) + 5 (z - 1)$

Step 1.4

Apply the distributive property.

$- (4 z) - - 5 + 5 (z - 1)$

Step 1.5

Multiply $4$ by $- 1$ .

$- 4 z - - 5 + 5 (z - 1)$

Step 1.6

Multiply $- 1$ by $- 5$ .

$- 4 z + 5 + 5 (z - 1)$

Step 1.7

Apply the distributive property.

$- 4 z + 5 + 5 z + 5 \cdot - 1$

Step 1.8

Multiply $5$ by $- 1$ .

$- 4 z + 5 + 5 z - 5$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $- 4 z + 5 + 5 z - 5$ .

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Step 2.1.1

Subtract $5$ from $5$ .

$- 4 z + 5 z + 0$

Step 2.1.2

Add $- 4 z + 5 z$ and $0$ .

$- 4 z + 5 z$

Step 2.2

Add $- 4 z$ and $5 z$ .

$z$