https://file.aiquickdraw.com/mathbot/file/17275759234791e0ojo04.jpg

The equation presented in your image is:

\[
1 - \frac{2}{3}a - 3 = \frac{4}{3} - a
\]

### Let's solve this step by step:

1. **Simplify both sides**:
   \[
   (1 - 3) - \frac{2}{3}a = \frac{4}{3} - a
   \]
   Simplify the constants:
   \[
   -2 - \frac{2}{3}a = \frac{4}{3} - a
   \]

2. **Eliminate fractions** by multiplying the entire equation by 3 to get rid of the denominators:
   \[
   3(-2) - 3\left(\frac{2}{3}a\right) = 3\left(\frac{4}{3}\right) - 3a
   \]
   Simplifying each term:
   \[
   -6 - 2a = 4 - 3a
   \]

3. **Move all terms involving** \(a\) to one side and constants to the other side. Add \(3a\) to both sides:
   \[
   -6 - 2a + 3a = 4
   \]
   Simplifying:
   \[
   -6 + a = 4
   \]

4. **Solve for** \(a\):
   \[
   a = 4 + 6 = 10
   \]

So, the solution is:
\[
a = 10
\]

Would you like more details on any step, or do you have any other questions?

Here are five related questions you might consider:
1. How do you handle equations with fractions and variables on both sides?
2. What happens when you multiply both sides of an equation by a number?
3. How do you check if your solution to a linear equation is correct?
4. What are common strategies for solving linear equations with multiple terms?
5. How would the solution change if the coefficients were different?

**Tip**: When solving equations with fractions, multiplying both sides by the denominator can simplify the process significantly.

Solve the linear equation for a: 1 - (2/3)a - 3 = 4/3 - a. If no solution exists, enter no solution. If the equation has infinite solutions, enter all real numbers.

Learn how to solve the linear equation 1 - (2/3)a - 3 = 4/3 - a with a detailed step-by-step solution. This problem involves handling fractions, combining like terms, and solving for the variable a.

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