(2.) $$ -15-3 w=\underbrace{4 w-2 w}_{+2} $$

Question

UpStudy AI · Accepted Answer

Sure, let's solve the equation step by step:

$$
-15 - 3w = \underbrace{4w - 2w}_{+2w}
$$

### Step 1: Simplify Both Sides

First, simplify the right-hand side (RHS) of the equation by combining like terms:

$$
4w - 2w = 2w
$$

Now the equation looks like:

$$
-15 - 3w = 2w
$$

### Step 2: Collect Like Terms

Next, let's get all the terms containing $$ w $$ on one side and the constant terms on the other side. To do this, add $$ 3w $$ to both sides:

$$
-15 - 3w + 3w = 2w + 3w
$$

$$
-15 = 5w
$$

### Step 3: Solve for $$ w $$

Finally, solve for $$ w $$ by dividing both sides by 5:

$$
w = \frac{-15}{5} = -3
$$

### **Solution**

$$
w = -3
$$
$$ w = -3 $$

(2.) \( -15-3 w=\underbrace{4 w-2 w}_{+2} \)