To solve the equation
[tex]\[ a + \frac{8}{3} = \frac{2}{3} \][/tex]
we need to isolate the variable [tex]\( a \)[/tex]. Follow these steps:
1. Start with the given equation:
[tex]\[ a + \frac{8}{3} = \frac{2}{3} \][/tex]
2. Subtract [tex]\(\frac{8}{3}\)[/tex] from both sides of the equation to get [tex]\(a\)[/tex] by itself:
[tex]\[ a + \frac{8}{3} - \frac{8}{3} = \frac{2}{3} - \frac{8}{3} \][/tex]
3. Simplify the left side and right side of the equation:
[tex]\[ a = \frac{2}{3} - \frac{8}{3} \][/tex]
4. Combine the fractions on the right side by subtracting:
[tex]\[ a = \frac{2 - 8}{3} \][/tex]
[tex]\[ a = \frac{-6}{3} \][/tex]
5. Simplify the fraction:
[tex]\[ a = -2 \][/tex]
So, the solution to the equation [tex]\( a + \frac{8}{3} = \frac{2}{3} \)[/tex] is:
[tex]\[ a = -2 \][/tex]
Among the given options:
- [tex]\(a = -\frac{10}{3}\)[/tex]
- [tex]\(a = -2\)[/tex]
- [tex]\(a = 2\)[/tex]
- [tex]\(a = \frac{10}{3}\)[/tex]
The correct answer is:
[tex]\[ a = -2 \][/tex]
