Algebra Examples

$- 9 (- 5 g + 1) = 4 (9 g - 9) - 9$

Step 1

Simplify $- 9 (- 5 g + 1)$ .

Tap for more steps...

Step 1.1

Rewrite.

$0 + 0 - 9 (- 5 g + 1) = 4 (9 g - 9) - 9$

Step 1.2

Simplify by adding zeros.

$- 9 (- 5 g + 1) = 4 (9 g - 9) - 9$

Step 1.3

Apply the distributive property.

$- 9 (- 5 g) - 9 \cdot 1 = 4 (9 g - 9) - 9$

Step 1.4

Multiply.

Tap for more steps...

Step 1.4.1

Multiply $- 5$ by $- 9$ .

$45 g - 9 \cdot 1 = 4 (9 g - 9) - 9$

Step 1.4.2

Multiply $- 9$ by $1$ .

$45 g - 9 = 4 (9 g - 9) - 9$

Step 2

Simplify $4 (9 g - 9) - 9$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

$45 g - 9 = 4 (9 g) + 4 \cdot - 9 - 9$

Step 2.1.2

Multiply $9$ by $4$ .

$45 g - 9 = 36 g + 4 \cdot - 9 - 9$

Step 2.1.3

Multiply $4$ by $- 9$ .

$45 g - 9 = 36 g - 36 - 9$

Step 2.2

Subtract $9$ from $- 36$ .

$45 g - 9 = 36 g - 45$

Step 3

Move all terms containing $g$ to the left side of the equation.

Tap for more steps...

Step 3.1

Subtract $36 g$ from both sides of the equation.

$45 g - 9 - 36 g = - 45$

Step 3.2

Subtract $36 g$ from $45 g$ .

$9 g - 9 = - 45$

Step 4

Move all terms not containing $g$ to the right side of the equation.

Tap for more steps...

Step 4.1

Add $9$ to both sides of the equation.

$9 g = - 45 + 9$

Step 4.2

Add $- 45$ and $9$ .

$9 g = - 36$

Step 5

Divide each term in $9 g = - 36$ by $9$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $9 g = - 36$ by $9$ .

$\frac{9 g}{9} = \frac{- 36}{9}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $9$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{9 g}{9} = \frac{- 36}{9}$

Step 5.2.1.2

Divide $g$ by $1$ .

$g = \frac{- 36}{9}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $- 36$ by $9$ .

$g = - 4$