We are solving the equation \( 16 + 5w = 106 \) for \( w \).

### Step 1: Isolate the term with \( w \)
Subtract 16 from both sides of the equation:
\[
16 + 5w - 16 = 106 - 16
\]
\[
5w = 90
\]

### Step 2: Solve for \( w \)
Divide both sides by 5:
\[
w = \frac{90}{5}
\]
\[
w = 18
\]

So, \( w = 18 \).

Would you like more details on these steps or any questions so far?

Here are 5 related questions:
1. How would you solve \( 10 + 4w = 50 \)?
2. What happens if you change \( 106 \) to \( 126 \) in the original equation?
3. Can you solve \( 7w - 12 = 35 \)?
4. How would you check if \( w = 18 \) is correct?
5. How can you simplify \( 3(2w + 4) = 36 \)?

**Tip**: Always check your solution by substituting the value back into the original equation.

Learn how to solve the linear equation 16 + 5w = 106 with a step-by-step guide. This problem covers core algebraic concepts such as isolating variables and solving for w. Suitable for students in Grades 6-8.

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