Finite Math Examples

$m = \frac{8}{3} n + 26$

Step 1

Rewrite the equation as $\frac{8}{3} n + 26 = m$ .

$\frac{8}{3} n + 26 = m$

Step 2

Combine $\frac{8}{3}$ and $n$ .

$\frac{8 n}{3} + 26 = m$

Step 3

Subtract $26$ from both sides of the equation.

$\frac{8 n}{3} = m - 26$

Step 4

Multiply both sides of the equation by $\frac{3}{8}$ .

$\frac{3}{8} \cdot \frac{8 n}{3} = \frac{3}{8} (m - 26)$

Step 5

Simplify both sides of the equation.

Tap for more steps...

Step 5.1

Simplify the left side.

Tap for more steps...

Step 5.1.1

Simplify $\frac{3}{8} \cdot \frac{8 n}{3}$ .

Tap for more steps...

Step 5.1.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 5.1.1.1.1

Cancel the common factor.

$\frac{3}{8} \cdot \frac{8 n}{3} = \frac{3}{8} (m - 26)$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{8} (8 n) = \frac{3}{8} (m - 26)$

Step 5.1.1.2

Cancel the common factor of $8$ .

Tap for more steps...

Step 5.1.1.2.1

Factor $8$ out of $8 n$ .

$\frac{1}{8} (8 (n)) = \frac{3}{8} (m - 26)$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{8} (8 n) = \frac{3}{8} (m - 26)$

Step 5.1.1.2.3

Rewrite the expression.

$n = \frac{3}{8} (m - 26)$

Step 5.2

Simplify the right side.

Tap for more steps...

Step 5.2.1

Simplify $\frac{3}{8} (m - 26)$ .

Tap for more steps...

Step 5.2.1.1

Apply the distributive property.

$n = \frac{3}{8} m + \frac{3}{8} \cdot - 26$

Step 5.2.1.2

Combine $\frac{3}{8}$ and $m$ .

$n = \frac{3 m}{8} + \frac{3}{8} \cdot - 26$

Step 5.2.1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 5.2.1.3.1

Factor $2$ out of $8$ .

$n = \frac{3 m}{8} + \frac{3}{2 (4)} \cdot - 26$

Step 5.2.1.3.2

Factor $2$ out of $- 26$ .

$n = \frac{3 m}{8} + \frac{3}{2 \cdot 4} \cdot (2 \cdot - 13)$

Step 5.2.1.3.3

Cancel the common factor.

$n = \frac{3 m}{8} + \frac{3}{2 \cdot 4} \cdot (2 \cdot - 13)$

Step 5.2.1.3.4

Rewrite the expression.

$n = \frac{3 m}{8} + \frac{3}{4} \cdot - 13$

Step 5.2.1.4

Combine $\frac{3}{4}$ and $- 13$ .

$n = \frac{3 m}{8} + \frac{3 \cdot - 13}{4}$

Step 5.2.1.5

Simplify the expression.

Tap for more steps...

Step 5.2.1.5.1

Multiply $3$ by $- 13$ .

$n = \frac{3 m}{8} + \frac{- 39}{4}$

Step 5.2.1.5.2

Move the negative in front of the fraction.

$n = \frac{3 m}{8} - \frac{39}{4}$