Algebra Examples

$8 g + 6 + g = 3 (2 - 3 g)$

Step 1

Add $8 g$ and $g$ .

$9 g + 6 = 3 (2 - 3 g)$

Step 2

Simplify $3 (2 - 3 g)$ .

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Step 2.1

Apply the distributive property.

$9 g + 6 = 3 \cdot 2 + 3 (- 3 g)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3$ by $2$ .

$9 g + 6 = 6 + 3 (- 3 g)$

Step 2.2.2

Multiply $- 3$ by $3$ .

$9 g + 6 = 6 - 9 g$

Step 3

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

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Step 3.1

Add $9 g$ to both sides of the equation.

$9 g + 6 + 9 g = 6$

Step 3.2

Add $9 g$ and $9 g$ .

$18 g + 6 = 6$

Step 4

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

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Step 4.1

Subtract $6$ from both sides of the equation.

$18 g = 6 - 6$

Step 4.2

Subtract $6$ from $6$ .

$18 g = 0$

Step 5

Divide each term in $18 g = 0$ by $18$ and simplify.

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Step 5.1

Divide each term in $18 g = 0$ by $18$ .

$\frac{18 g}{18} = \frac{0}{18}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $18$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{18 g}{18} = \frac{0}{18}$

Step 5.2.1.2

Divide $g$ by $1$ .

$g = \frac{0}{18}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $18$ .

$g = 0$