Basic Math Examples

$- \frac{8}{3} n + 3 n = 24$

Step 1

Simplify $- \frac{8}{3} n + 3 n$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

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

$- \frac{n \cdot 8}{3} + 3 n = 24$

Step 1.1.2

Move $8$ to the left of $n$ .

$- \frac{8 n}{3} + 3 n = 24$

$- \frac{8 n}{3} + 3 n = 24$

Step 1.2

To write $3 n$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{8 n}{3} + 3 n \cdot \frac{3}{3} = 24$

Step 1.3

Simplify terms.

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Step 1.3.1

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

$- \frac{8 n}{3} + \frac{3 n \cdot 3}{3} = 24$

Step 1.3.2

Combine the numerators over the common denominator.

$\frac{- 8 n + 3 n \cdot 3}{3} = 24$

$\frac{- 8 n + 3 n \cdot 3}{3} = 24$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Factor $n$ out of $- 8 n + 3 n \cdot 3$ .

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Step 1.4.1.1

Factor $n$ out of $- 8 n$ .

$\frac{n \cdot - 8 + 3 n \cdot 3}{3} = 24$

Step 1.4.1.2

Factor $n$ out of $3 n \cdot 3$ .

$\frac{n \cdot - 8 + n (3 \cdot 3)}{3} = 24$

Step 1.4.1.3

Factor $n$ out of $n \cdot - 8 + n (3 \cdot 3)$ .

$\frac{n (- 8 + 3 \cdot 3)}{3} = 24$

$\frac{n (- 8 + 3 \cdot 3)}{3} = 24$

Step 1.4.2

Multiply $3$ by $3$ .

$\frac{n (- 8 + 9)}{3} = 24$

Step 1.4.3

Add $- 8$ and $9$ .

$\frac{n \cdot 1}{3} = 24$

$\frac{n \cdot 1}{3} = 24$

Step 1.5

Multiply $n$ by $1$ .

$\frac{n}{3} = 24$

$\frac{n}{3} = 24$

Step 2

Multiply both sides of the equation by $3$ .

$3 \frac{n}{3} = 3 \cdot 24$

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

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$3 \frac{n}{3} = 3 \cdot 24$

Step 3.1.1.2

Rewrite the expression.

$n = 3 \cdot 24$

$n = 3 \cdot 24$

$n = 3 \cdot 24$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $3$ by $24$ .

$n = 72$

$n = 72$

$n = 72$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$