Solve for w. 2(3w+5)=46 Simplify your answer as much as possible. W

Answer 1

To solve the equation \( 2(3w + 5) = 46 \), follow these steps:

1. Distribute the 2 on the left side of the equation:

   \[ 2 \cdot 3w + 2 \cdot 5 = 46 \]

   This simplifies to:

   \[ 6w + 10 = 46 \]

2. Next, subtract 10 from both sides of the equation:

   \[ 6w + 10 - 10 = 46 - 10 \]

   This simplifies to:

   \[ 6w = 36 \]

3. Now, divide both sides by 6 to isolate \( w \):

   \[ w = \frac{36}{6} \]

   This simplifies to:

   \[ w = 6 \]

Thus, the solution is:

\[ \boxed{6} \]