Basic Math Examples

$n \div n - 2 \cdot 2 = 3 n + 4$

Step 1

Simplify $n \div n - 2 \cdot 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Rewrite the division as a fraction.

$\frac{n}{n} - 2 \cdot 2 = 3 n + 4$

Step 1.1.2

Cancel the common factor of $n$ .

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Step 1.1.2.1

Cancel the common factor.

$\frac{n}{n} - 2 \cdot 2 = 3 n + 4$

Step 1.1.2.2

Rewrite the expression.

$1 - 2 \cdot 2 = 3 n + 4$

Step 1.1.3

Multiply $- 2$ by $2$ .

$1 - 4 = 3 n + 4$

Step 1.2

Subtract $4$ from $1$ .

$- 3 = 3 n + 4$

Step 2

Since $n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$3 n + 4 = - 3$

Step 3

Move all terms not containing $n$ to the right side of the equation.

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Step 3.1

Subtract $4$ from both sides of the equation.

$3 n = - 3 - 4$

Step 3.2

Subtract $4$ from $- 3$ .

$3 n = - 7$

Step 4

Divide each term in $3 n = - 7$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 n = - 7$ by $3$ .

$\frac{3 n}{3} = \frac{- 7}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 n}{3} = \frac{- 7}{3}$

Step 4.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 7}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$n = - \frac{7}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$n = - \frac{7}{3}$

Decimal Form:

$n = - 2.\overline{3}$

Mixed Number Form:

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