Question

Now, add w to both sides of the equation to get rid of −w on the right so that the w terms are only on the left side.
3w − 3
=
−w − 2
+
w
+
w

Answer 1

To add \( w \) to both sides of the equation given, we start with:

\[
3w - 3 = -w - 2 + w + w
\]

First, simplify the right side:

\[
-w + w + w = 0 + w = w
\]

Now, the equation simplifies to:

\[
3w - 3 = w - 2
\]

Next, we will add \( w \) to both sides:

\[
3w - 3 + w = w - 2 + w
\]

This results in:

\[
4w - 3 = 2w - 2
\]

Now, you have combined the \( w \) terms on the left side and simplified the right side.