Question

Simplify the expression.

$3\left(u+1\right)+4u+1$

Short answer

Value of given expression is $7u+4$.

Step-by-step solution

Step 1.  Expanding terms of given expression

$3\left(u+1\right)+4u+1$

This can be written as,

$\begin{array}{l}3\left(u+1\right)+4u+1=3u+3\left(1\right)+4u+1\\ 3\left(u+1\right)+4u+1=3u+3+4u+1\end{array}$

Step 2.  Combining like terms 

Combining like terms, we get,

$\begin{array}{l}3\left(u+1\right)+4u+1=3u+4u+3+1\\ 3\left(u+1\right)+4u+1=7u+4\end{array}$

Step 3.  Conclusion

Therefore, the value of given expression is $7u+4$.