Certainly! Let's solve the equation [tex]\(\frac{w+3}{3} = 2\)[/tex] step by step:
1. Start with the given equation:
[tex]\[
\frac{w+3}{3} = 2
\][/tex]
2. Eliminate the fraction by multiplying both sides of the equation by 3:
[tex]\[
3 \cdot \frac{w+3}{3} = 2 \cdot 3
\][/tex]
This simplifies to:
[tex]\[
w + 3 = 6
\][/tex]
3. Isolate [tex]\(w\)[/tex] by subtracting 3 from both sides:
[tex]\[
w + 3 - 3 = 6 - 3
\][/tex]
Simplifying this, we get:
[tex]\[
w = 3
\][/tex]
Thus, the value of [tex]\(w\)[/tex] is:
[tex]\[
\boxed{3}
\][/tex]