Basic Math Examples

$f = \frac{3}{2} \cdot (n - 62)$

Step 1

Rewrite the equation as $\frac{3}{2} \cdot (n - 62) = f$ .

$\frac{3}{2} \cdot (n - 62) = f$

Step 2

Multiply both sides of the equation by $\frac{2}{3}$ .

$\frac{2}{3} (\frac{3}{2} \cdot (n - 62)) = \frac{2}{3} f$

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 $\frac{2}{3} (\frac{3}{2} \cdot (n - 62))$ .

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Step 3.1.1.1

Apply the distributive property.

$\frac{2}{3} (\frac{3}{2} n + \frac{3}{2} \cdot - 62) = \frac{2}{3} f$

Step 3.1.1.2

Combine $\frac{3}{2}$ and $n$ .

$\frac{2}{3} (\frac{3 n}{2} + \frac{3}{2} \cdot - 62) = \frac{2}{3} f$

Step 3.1.1.3

Cancel the common factor of $2$ .

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Step 3.1.1.3.1

Factor $2$ out of $- 62$ .

$\frac{2}{3} (\frac{3 n}{2} + \frac{3}{2} \cdot (2 (- 31))) = \frac{2}{3} f$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{2}{3} (\frac{3 n}{2} + \frac{3}{2} \cdot (2 \cdot - 31)) = \frac{2}{3} f$

Step 3.1.1.3.3

Rewrite the expression.

$\frac{2}{3} (\frac{3 n}{2} + 3 \cdot - 31) = \frac{2}{3} f$

Step 3.1.1.4

Multiply $3$ by $- 31$ .

$\frac{2}{3} (\frac{3 n}{2} - 93) = \frac{2}{3} f$

Step 3.1.1.5

Apply the distributive property.

$\frac{2}{3} \cdot \frac{3 n}{2} + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.6

Cancel the common factor of $2$ .

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Step 3.1.1.6.1

Cancel the common factor.

$\frac{2}{3} \cdot \frac{3 n}{2} + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.6.2

Rewrite the expression.

$\frac{1}{3} (3 n) + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.7

Cancel the common factor of $3$ .

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Step 3.1.1.7.1

Factor $3$ out of $3 n$ .

$\frac{1}{3} (3 (n)) + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.7.2

Cancel the common factor.

$\frac{1}{3} (3 n) + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.7.3

Rewrite the expression.

$n + \frac{2}{3} \cdot - 93 = \frac{2}{3} f$

Step 3.1.1.8

Cancel the common factor of $3$ .

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Step 3.1.1.8.1

Factor $3$ out of $- 93$ .

$n + \frac{2}{3} \cdot (3 (- 31)) = \frac{2}{3} f$

Step 3.1.1.8.2

Cancel the common factor.

$n + \frac{2}{3} \cdot (3 \cdot - 31) = \frac{2}{3} f$

Step 3.1.1.8.3

Rewrite the expression.

$n + 2 \cdot - 31 = \frac{2}{3} f$

Step 3.1.1.9

Multiply $2$ by $- 31$ .

$n - 62 = \frac{2}{3} f$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine $\frac{2}{3}$ and $f$ .

$n - 62 = \frac{2 f}{3}$

Step 4

Add $62$ to both sides of the equation.

$n = \frac{2 f}{3} + 62$