Algebra Examples

$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{3}{7}$ and $n$ .

$\frac{1}{7} - 3 (\frac{3 n}{7} - \frac{2}{7})$

Step 1.2

Combine the numerators over the common denominator.

$\frac{1}{7} - 3 \frac{3 n - 2}{7}$

Step 1.3

Combine $- 3$ and $\frac{3 n - 2}{7}$ .

$\frac{1}{7} + \frac{- 3 (3 n - 2)}{7}$

Step 1.4

Move the negative in front of the fraction.

$\frac{1}{7} - \frac{3 (3 n - 2)}{7}$

$\frac{1}{7} - \frac{3 (3 n - 2)}{7}$

Step 2

Combine the numerators over the common denominator.

$\frac{1 - 3 (3 n - 2)}{7}$

Step 3

Simplify each term.

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Step 3.1

Apply the distributive property.

$\frac{1 - 3 (3 n) - 3 \cdot - 2}{7}$

Step 3.2

Multiply $3$ by $- 3$ .

$\frac{1 - 9 n - 3 \cdot - 2}{7}$

Step 3.3

Multiply $- 3$ by $- 2$ .

$\frac{1 - 9 n + 6}{7}$

$\frac{1 - 9 n + 6}{7}$

Step 4

Simplify with factoring out.

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Step 4.1

Add $1$ and $6$ .

$\frac{- 9 n + 7}{7}$

Step 4.2

Factor $- 1$ out of $- 9 n$ .

$\frac{- (9 n) + 7}{7}$

Step 4.3

Rewrite $7$ as $- 1 (- 7)$ .

$\frac{- (9 n) - 1 (- 7)}{7}$

Step 4.4

Factor $- 1$ out of $- (9 n) - 1 (- 7)$ .

$\frac{- (9 n - 7)}{7}$

Step 4.5

Simplify the expression.

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Step 4.5.1

Rewrite $- (9 n - 7)$ as $- 1 (9 n - 7)$ .

$\frac{- 1 (9 n - 7)}{7}$

Step 4.5.2

Move the negative in front of the fraction.

$- \frac{9 n - 7}{7}$

$- \frac{9 n - 7}{7}$

$- \frac{9 n - 7}{7}$

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