Pre-Algebra Examples

$- 4 (n - 2) = 4 - 3 n$

Step 1

Simplify $- 4 (n - 2)$ .

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Step 1.1

Rewrite.

$0 + 0 - 4 (n - 2) = 4 - 3 n$

Step 1.2

Simplify by adding zeros.

$- 4 (n - 2) = 4 - 3 n$

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 4$ by $- 2$ .

$- 4 n + 8 = 4 - 3 n$

Step 2

Move all terms containing $n$ to the left side of the equation.

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Step 2.1

Add $3 n$ to both sides of the equation.

$- 4 n + 8 + 3 n = 4$

Step 2.2

Add $- 4 n$ and $3 n$ .

$- n + 8 = 4$

Step 3

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

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Step 3.1

Subtract $8$ from both sides of the equation.

$- n = 4 - 8$

Step 3.2

Subtract $8$ from $4$ .

$- n = - 4$

Step 4

Divide each term in $- n = - 4$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- n = - 4$ by $- 1$ .

$\frac{- n}{- 1} = \frac{- 4}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{n}{1} = \frac{- 4}{- 1}$

Step 4.2.2

Divide $n$ by $1$ .

$n = \frac{- 4}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 4$ by $- 1$ .

$n = 4$