Solve for w. You can choose to show your work below or solve on paper and then enter your answer on Zearn.

Question

3w − 3
=
−w − 2
+
w
+
w

4w − 3
=
−2
+
3
+
3

4w
=
1

w
=

Answer 1

Let's solve the equation step by step.

We start with the equation:

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

First, simplify the right side:

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

So, the equation simplifies to:

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

Next, let's isolate \(w\) by getting all \(w\) terms on one side and constants on the other:

Subtract \(w\) from both sides:

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

This simplifies to:

\[ 2w - 3 = -2 \]

Now, add 3 to both sides:

\[ 2w = -2 + 3 \]

This simplifies to:

\[ 2w = 1 \]

Now, divide by 2 to solve for \(w\):

\[ w = \frac{1}{2} \]

Thus, the solution is:

\[ w = \frac{1}{2} \]