Basic Math Examples

$- 3 w - 3 (- 3 z + 2 w) + 4 z$

Step 1

Factor $- 1$ out of $- 3 w - 3 (- 3 z + 2 w) + 4 z$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Reorder $- 3 z$ and $2 w$ .

$- 3 w - 3 (2 w - 3 z) + 4 z$

Step 1.1.2

Reorder $- 3 w$ and $- 3 (2 w - 3 z)$ .

$- 3 (2 w - 3 z) - 3 w + 4 z$

Step 1.2

Factor $- 1$ out of $- 3 (2 w - 3 z)$ .

$- (3 (2 w - 3 z)) - 3 w + 4 z$

Step 1.3

Factor $- 1$ out of $- 3 w$ .

$- (3 (2 w - 3 z)) - (3 w) + 4 z$

Step 1.4

Factor $- 1$ out of $4 z$ .

$- (3 (2 w - 3 z)) - (3 w) - (- 4 z)$

Step 1.5

Factor $- 1$ out of $- (3 (2 w - 3 z)) - (3 w)$ .

$- (3 (2 w - 3 z) + 3 w) - (- 4 z)$

Step 1.6

Factor $- 1$ out of $- (3 (2 w - 3 z) + 3 w) - (- 4 z)$ .

$- (3 (2 w - 3 z) + 3 w - 4 z)$

Step 2

Apply the distributive property.

$- (3 (2 w) + 3 (- 3 z) + 3 w - 4 z)$

Step 3

Multiply $2$ by $3$ .

$- (6 w + 3 (- 3 z) + 3 w - 4 z)$

Step 4

Multiply $- 3$ by $3$ .

$- (6 w - 9 z + 3 w - 4 z)$

Step 5

Add $6 w$ and $3 w$ .

$- (9 w - 9 z - 4 z)$

Step 6

Subtract $4 z$ from $- 9 z$ .

$- (9 w - 13 z)$