Basic Math Examples

$a n = 4 + 3 (n - 1)$

Step 1

Divide each term in $a n = 4 + 3 (n - 1)$ by $n$ .

$\frac{a n}{n} = \frac{4}{n} + \frac{3 (n - 1)}{n}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $n$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a n}{n} = \frac{4}{n} + \frac{3 (n - 1)}{n}$

Step 2.1.2

Divide $a$ by $1$ .

$a = \frac{4}{n} + \frac{3 (n - 1)}{n}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$a = \frac{4 + 3 (n - 1)}{n}$

Step 3.2

Simplify each term.

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Step 3.2.1

Apply the distributive property.

$a = \frac{4 + 3 n + 3 \cdot - 1}{n}$

Step 3.2.2

Multiply $3$ by $- 1$ .

$a = \frac{4 + 3 n - 3}{n}$

Step 3.3

Subtract $3$ from $4$ .

$a = \frac{3 n + 1}{n}$