Solve for a a+6a-9=30

$a + 6 a - 9 = 30$

Step 1

Add $a$ and $6 a$ .

$7 a - 9 = 30$

Step 2

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

Add $9$ to both sides of the equation.

$7 a = 30 + 9$

Add $30$ and $9$ .

$7 a = 39$

Step 3

Divide each term in $7 a = 39$ by $7$ and simplify.

Divide each term in $7 a = 39$ by $7$ .

$\frac{7 a}{7} = \frac{39}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 a}{7} = \frac{39}{7}$

Divide $a$ by $1$ .

$a = \frac{39}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \frac{39}{7}$

Decimal Form:

$a = 5.\overline{571428}$

Mixed Number Form:

$a = 5 \frac{4}{7}$