Okay, let's solve the given equation step-by-step:
We start with the given equation:
[tex]\[ 6a + 7a - 8 = 4a \][/tex]
First, we need to combine like terms on the left side of the equation. Adding [tex]\(6a\)[/tex] and [tex]\(7a\)[/tex] gives us:
[tex]\[ 13a - 8 = 4a \][/tex]
Next, we need to isolate the variable [tex]\(a\)[/tex]. To do this, we can start by subtracting [tex]\(4a\)[/tex] from both sides of the equation:
[tex]\[ 13a - 4a - 8 = 4a - 4a \][/tex]
This simplifies to:
[tex]\[ 9a - 8 = 0 \][/tex]
Now, we want to isolate [tex]\(9a\)[/tex]. To do this, we add 8 to both sides of the equation:
[tex]\[ 9a - 8 + 8 = 0 + 8 \][/tex]
Simplifying this, we get:
[tex]\[ 9a = 8 \][/tex]
Next, we solve for [tex]\(a\)[/tex] by dividing both sides of the equation by 9:
[tex]\[ a = \frac{8}{9} \][/tex]
So, the solution to the equation is
[tex]\[ a = \frac{8}{9} \][/tex]
Therefore, the correct answer is:
b. [tex]\(\frac{8}{9}\)[/tex]
