Let's solve the equation [tex]\(33 = 4a - 7\)[/tex] step-by-step.
1. Isolate the term involving the variable [tex]\(a\)[/tex]:
We want to get [tex]\(4a\)[/tex] by itself on one side of the equation. To do this, we need to get rid of the [tex]\(-7\)[/tex] that's on the right-hand side. We can do this by adding 7 to both sides of the equation.
[tex]\[
33 + 7 = 4a - 7 + 7
\][/tex]
Simplifying both sides, we get:
[tex]\[
40 = 4a
\][/tex]
2. Solve for [tex]\(a\)[/tex]:
Now that we have [tex]\(4a\)[/tex] isolated, we need to solve for [tex]\(a\)[/tex]. To do this, we divide both sides of the equation by 4.
[tex]\[
\frac{40}{4} = \frac{4a}{4}
\][/tex]
Simplifying this, we get:
[tex]\[
10 = a
\][/tex]
Therefore, the value of [tex]\(a\)[/tex] that satisfies the equation [tex]\(33 = 4a - 7\)[/tex] is [tex]\(a = 10.0\)[/tex].
