Basic Math Examples

$- 2.5 = \frac{n + 7.34}{- 6}$

Step 1

Rewrite the equation as $\frac{n + 7.34}{- 6} = - 2.5$ .

$\frac{n + 7.34}{- 6} = - 2.5$

Step 2

Multiply both sides of the equation by $- 6$ .

$- 6 \frac{n + 7.34}{- 6} = - 6 \cdot - 2.5$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 6 \frac{n + 7.34}{- 6}$ .

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Step 3.1.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1.1

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{n + 7.34}{- 6} = - 6 \cdot - 2.5$

Step 3.1.1.1.2

Factor $6$ out of $- 6$ .

$6 \cdot - 1 \frac{n + 7.34}{6 \cdot - 1} = - 6 \cdot - 2.5$

Step 3.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{n + 7.34}{6 \cdot - 1} = - 6 \cdot - 2.5$

Step 3.1.1.1.4

Rewrite the expression.

$- \frac{n + 7.34}{- 1} = - 6 \cdot - 2.5$

Step 3.1.1.2

Simplify the expression.

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Step 3.1.1.2.1

Move the negative one from the denominator of $\frac{n + 7.34}{- 1}$ .

$- (- 1 \cdot (n + 7.34)) = - 6 \cdot - 2.5$

Step 3.1.1.2.2

Rewrite $- 1 \cdot (n + 7.34)$ as $- (n + 7.34)$ .

$- - (n + 7.34) = - 6 \cdot - 2.5$

Step 3.1.1.3

Apply the distributive property.

$- (- n - 1 \cdot 7.34) = - 6 \cdot - 2.5$

Step 3.1.1.4

Multiply $- 1$ by $7.34$ .

$- (- n - 7.34) = - 6 \cdot - 2.5$

Step 3.1.1.5

Apply the distributive property.

$- - n - - 7.34 = - 6 \cdot - 2.5$

Step 3.1.1.6

Multiply $- - n$ .

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Step 3.1.1.6.1

Multiply $- 1$ by $- 1$ .

$1 n - - 7.34 = - 6 \cdot - 2.5$

Step 3.1.1.6.2

Multiply $n$ by $1$ .

$n - - 7.34 = - 6 \cdot - 2.5$

Step 3.1.1.7

Multiply $- 1$ by $- 7.34$ .

$n + 7.34 = - 6 \cdot - 2.5$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 6$ by $- 2.5$ .

$n + 7.34 = 15$

Step 4

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

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Step 4.1

Subtract $7.34$ from both sides of the equation.

$n = 15 - 7.34$

Step 4.2

Subtract $7.34$ from $15$ .

$n = 7.66$