Solve for $$ w $$ $$ 6=2(w+6)-8 w $$ Simplify your answer as much as possible.

Question

UpStudy AI · Accepted Answer

Let's solve the equation step by step.

### Step 1: Write the Equation
We start with:
$$
6 = 2(w + 6) - 8w
$$

### Step 2: Distribute the 2
Distribute the 2 on the right-hand side:
$$
6 = 2w + 12 - 8w
$$

### Step 3: Combine Like Terms
Combine the $$ w $$-terms:
$$
6 = -6w + 12
$$

### Step 4: Isolate the $$ w $$ Term
Subtract 12 from both sides to isolate the term with $$ w $$:
$$
6 - 12 = -6w
$$
$$
-6 = -6w
$$

### Step 5: Solve for $$ w $$
Divide both sides of the equation by $$-6$$:
$$
w = \frac{-6}{-6} = 1
$$

### Final Answer
$$
\boxed{1}
$$
$$ w = 1 $$

Solve for \( w \) \[ 6=2(w+6)-8 w \] Simplify your answer as much as possible.