Pre-Algebra Examples

$12 n - 24 = 14 n + 28$

Step 1

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

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Step 1.1

Subtract $14 n$ from both sides of the equation.

$12 n - 24 - 14 n = 28$

Step 1.2

Subtract $14 n$ from $12 n$ .

$- 2 n - 24 = 28$

Step 2

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

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Step 2.1

Add $24$ to both sides of the equation.

$- 2 n = 28 + 24$

Step 2.2

Add $28$ and $24$ .

$- 2 n = 52$

Step 3

Divide each term in $- 2 n = 52$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 n = 52$ by $- 2$ .

$\frac{- 2 n}{- 2} = \frac{52}{- 2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 n}{- 2} = \frac{52}{- 2}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{52}{- 2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $52$ by $- 2$ .

$n = - 26$