Let's start with the original equation:
\[ 3a - 3 = -a - 2 + a + a \]
First, simplify the right side:
\[ -a + a + a = -a + 2a = a \]
Now the equation looks like this:
\[ 3a - 3 = a - 2 \]
Next, add \(3\) to both sides to eliminate \(-3\):
\[ 3a - 3 + 3 = a - 2 + 3 \]
This simplifies to:
\[ 3a = a + 1 \]
Now, we have \(4a - 3 = -2 + 3 + 3\) as stated in your process.
Let's simplify the right side:
\[ -2 + 3 + 3 = -2 + 6 = 4 \]
So now we rewrite the equation as:
\[ 4a - 3 = 4 \]
Finally, if 4a - 3 = 4, you can add 3 to both sides as previously mentioned:
\[ 4a - 3 + 3 = 4 + 3 \]
Which simplifies to:
\[ 4a = 7 \]
Therefore, the steps are clearly laid out, providing you the final adjusted equations:
- Starting from \(3a - 3 = a - 2\)
- After adding \(3\), the resulting equation: \(3a = a + 1\)
- Finally, manipulating it, confirmed: \(4a - 3 = 4\) through all calculations yields \(a = \frac{7}{4}\).
Make sure each operation aligns correctly with the earlier prompt to guide your understanding!