Basic Math Examples

$n + (n - 2) + (n - 4) + (n - 6) = - 72$

Step 1

Simplify $n + n - 2 + n - 4 + n - 6$ .

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Step 1.1

Add $n$ and $n$ .

$2 n - 2 + n - 4 + n - 6 = - 72$

Step 1.2

Add $2 n$ and $n$ .

$3 n - 2 - 4 + n - 6 = - 72$

Step 1.3

Add $3 n$ and $n$ .

$4 n - 2 - 4 - 6 = - 72$

Step 1.4

Simplify by subtracting numbers.

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Step 1.4.1

Subtract $4$ from $- 2$ .

$4 n - 6 - 6 = - 72$

Step 1.4.2

Subtract $6$ from $- 6$ .

$4 n - 12 = - 72$

Step 2

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

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Step 2.1

Add $12$ to both sides of the equation.

$4 n = - 72 + 12$

Step 2.2

Add $- 72$ and $12$ .

$4 n = - 60$

Step 3

Divide each term in $4 n = - 60$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 n = - 60$ by $4$ .

$\frac{4 n}{4} = \frac{- 60}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 n}{4} = \frac{- 60}{4}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 60}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 60$ by $4$ .

$n = - 15$