Algebra Examples

$0.1 m + 8 - 12 n$ when $m = 30$ and $n = \frac{1}{4}$

Step 1

Replace the variable $m$ with $30$ in the expression.

$0.1 (30) + 8 - 12 n$

Step 2

Replace the variable $n$ with $\frac{1}{4}$ in the expression.

$0.1 (30) + 8 - 12 (\frac{1}{4})$

Step 3

Simplify each term.

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Step 3.1

Multiply $0.1$ by $30$ .

$3 + 8 - 12 (\frac{1}{4})$

Step 3.2

Cancel the common factor of $4$ .

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Step 3.2.1

Factor $4$ out of $- 12$ .

$3 + 8 + 4 (- 3) \frac{1}{4}$

Step 3.2.2

Cancel the common factor.

$3 + 8 + 4 \cdot - 3 \frac{1}{4}$

Step 3.2.3

Rewrite the expression.

$3 + 8 - 3$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Add $3$ and $8$ .

$11 - 3$

Step 4.2

Subtract $3$ from $11$ .

$8$