Algebra Examples

$2 (- n - 3) - 7 (5 + 2 n)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 (- n) + 2 \cdot - 3 - 7 (5 + 2 n)$

Step 1.2

Multiply $- 1$ by $2$ .

$- 2 n + 2 \cdot - 3 - 7 (5 + 2 n)$

Step 1.3

Multiply $2$ by $- 3$ .

$- 2 n - 6 - 7 (5 + 2 n)$

Step 1.4

Apply the distributive property.

$- 2 n - 6 - 7 \cdot 5 - 7 (2 n)$

Step 1.5

Multiply $- 7$ by $5$ .

$- 2 n - 6 - 35 - 7 (2 n)$

Step 1.6

Multiply $2$ by $- 7$ .

$- 2 n - 6 - 35 - 14 n$

$- 2 n - 6 - 35 - 14 n$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $14 n$ from $- 2 n$ .

$- 16 n - 6 - 35$

Step 2.2

Subtract $35$ from $- 6$ .

$- 16 n - 41$

$- 16 n - 41$

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