Basic Math Examples

$(6 g - 9) + \frac{1}{3} \cdot (15 - 9 g)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$6 g - 9 + \frac{1}{3} \cdot 15 + \frac{1}{3} (- 9 g)$

Step 1.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.1

Factor $3$ out of $15$ .

$6 g - 9 + \frac{1}{3} \cdot (3 (5)) + \frac{1}{3} (- 9 g)$

Step 1.2.2

Cancel the common factor.

$6 g - 9 + \frac{1}{3} \cdot (3 \cdot 5) + \frac{1}{3} (- 9 g)$

Step 1.2.3

Rewrite the expression.

$6 g - 9 + 5 + \frac{1}{3} (- 9 g)$

Step 1.3

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.3.1

Factor $3$ out of $- 9 g$ .

$6 g - 9 + 5 + \frac{1}{3} (3 (- 3 g))$

Step 1.3.2

Cancel the common factor.

$6 g - 9 + 5 + \frac{1}{3} (3 (- 3 g))$

Step 1.3.3

Rewrite the expression.

$6 g - 9 + 5 - 3 g$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $3 g$ from $6 g$ .

$3 g - 9 + 5$

Step 2.2

Add $- 9$ and $5$ .

$3 g - 4$