Finite Math Examples

$10 - (w + 6) - (6 w + ((w + 4) - (7 - w)))$

Step 1

Remove parentheses.

$10 - (w + 6) - (6 w + (w + 4) - (7 - w))$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$10 - w - 1 \cdot 6 - (6 w + (w + 4) - (7 - w))$

Step 2.2

Multiply $- 1$ by $6$ .

$10 - w - 6 - (6 w + (w + 4) - (7 - w))$

Step 2.3

Simplify each term.

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Step 2.3.1

Apply the distributive property.

$10 - w - 6 - (6 w + w + 4 - 1 \cdot 7 - - w)$

Step 2.3.2

Multiply $- 1$ by $7$ .

$10 - w - 6 - (6 w + w + 4 - 7 - - w)$

Step 2.3.3

Multiply $- - w$ .

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Step 2.3.3.1

Multiply $- 1$ by $- 1$ .

$10 - w - 6 - (6 w + w + 4 - 7 + 1 w)$

Step 2.3.3.2

Multiply $w$ by $1$ .

$10 - w - 6 - (6 w + w + 4 - 7 + w)$

$10 - w - 6 - (6 w + w + 4 - 7 + w)$

$10 - w - 6 - (6 w + w + 4 - 7 + w)$

Step 2.4

Add $6 w$ and $w$ .

$10 - w - 6 - (7 w + 4 - 7 + w)$

Step 2.5

Add $7 w$ and $w$ .

$10 - w - 6 - (8 w + 4 - 7)$

Step 2.6

Subtract $7$ from $4$ .

$10 - w - 6 - (8 w - 3)$

Step 2.7

Apply the distributive property.

$10 - w - 6 - (8 w) - - 3$

Step 2.8

Multiply $8$ by $- 1$ .

$10 - w - 6 - 8 w - - 3$

Step 2.9

Multiply $- 1$ by $- 3$ .

$10 - w - 6 - 8 w + 3$

$10 - w - 6 - 8 w + 3$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $6$ from $10$ .

$- w + 4 - 8 w + 3$

Step 3.2

Subtract $8 w$ from $- w$ .

$- 9 w + 4 + 3$

Step 3.3

Add $4$ and $3$ .

$- 9 w + 7$

$- 9 w + 7$

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