Solve for a in the equation 6a - 9 = 3.

To solve for ( a ) in the equation ( 6a - 9 = 3 ), the first step is to isolate the term with ( a ). To do this, add 9 to both sides of the equation:

[

6a - 9 + 9 = 3 + 9

]

This simplifies to:

[

6a = 12

]

Next, to solve for ( a ), divide both sides of the equation by 6:

[

a = \frac{12}{6}

]

Calculating that gives:

[

a = 2

]

Thus, the solution to the equation is ( 2 ). The reasoning behind this step-by-step breakdown clarifies how algebraic manipulation is used to isolate the variable and find its value.