Pre-Algebra Examples

$7 (1 + 9 v) - 8 (- 5 v) - 6$

Step 1

Factor $- 1$ out of $7 (1 + 9 v) - 8 (- 5 v) - 6$ .

Tap for more steps...

Step 1.1

Reorder the expression.

Tap for more steps...

Step 1.1.1

Reorder $1$ and $9 v$ .

$7 (9 v + 1) - 8 (- 5 v) - 6$

Step 1.1.2

Remove parentheses.

$7 (9 v + 1) - 8 \cdot - 5 v - 6$

Step 1.2

Factor $- 1$ out of $7 (9 v + 1)$ .

$- (- 7 (9 v + 1)) - 8 \cdot - 5 v - 6$

Step 1.3

Factor $- 1$ out of $- 8 \cdot - 5 v$ .

$- (- 7 (9 v + 1)) - (8 \cdot - 5 v) - 6$

Step 1.4

Rewrite $- 6$ as $- 1 (6)$ .

$- (- 7 (9 v + 1)) - (8 \cdot - 5 v) - 1 (6)$

Step 1.5

Factor $- 1$ out of $- (- 7 (9 v + 1)) - (8 \cdot - 5 v)$ .

$- (- 7 (9 v + 1) + 8 \cdot - 5 v) - 1 (6)$

Step 1.6

Factor $- 1$ out of $- (- 7 (9 v + 1) + 8 \cdot - 5 v) - 1 (6)$ .

$- (- 7 (9 v + 1) + 8 \cdot - 5 v + 6)$

Step 2

Apply the distributive property.

$- (- 7 (9 v) - 7 \cdot 1 + 8 \cdot - 5 v + 6)$

Step 3

Multiply $9$ by $- 7$ .

$- (- 63 v - 7 \cdot 1 + 8 \cdot - 5 v + 6)$

Step 4

Multiply $- 7$ by $1$ .

$- (- 63 v - 7 + 8 \cdot - 5 v + 6)$

Step 5

Multiply $8$ by $- 5$ .

$- (- 63 v - 7 - 40 v + 6)$

Step 6

Subtract $40 v$ from $- 63 v$ .

$- (- 103 v - 7 + 6)$

Step 7

Add $- 7$ and $6$ .

$- (- 103 v - 1)$

Step 8

Factor.

Tap for more steps...

Step 8.1

Factor $- 1$ out of $- 103 v - 1$ .

Tap for more steps...

Step 8.1.1

Factor $- 1$ out of $- 103 v$ .

$- (- (103 v) - 1)$

Step 8.1.2

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

$- (- (103 v) - 1 (1))$

Step 8.1.3

Factor $- 1$ out of $- (103 v) - 1 (1)$ .

$- - (103 v + 1)$

Step 8.2

Remove unnecessary parentheses.

$- - 1 (103 v + 1)$

Step 9

Combine exponents.

Tap for more steps...

Step 9.1

Factor out negative.

$- - (103 v + 1)$

Step 9.2

Multiply $- 1$ by $- 1$ .

$1 (103 v + 1)$

Step 9.3

Multiply $103 v + 1$ by $1$ .

$103 v + 1$