Solve for $u$.
$u + 3 = 96$
$u =$
We are given the linear equation \(u + 3 = 96\). Our goal is to isolate the variable \(u\) to determine its value. An equation represents a balance where both sides are equal, so any operation performed on one side must also be performed on the other side to maintain this equality.
To isolate \(u\), we need to eliminate the constant term \(3\) on the left side of the equation. Since the equation involves addition, we apply the inverse operation, which is subtraction. By subtracting \(3\) from both sides, we get:
\[u + 3 - 3 = 96 - 3\]
Simplifying the left side, \(3 - 3 = 0\), so the equation becomes:
\[u = 96 - 3\]
Now we perform the final subtraction on the right side:
\[u = 93\]
Thus, the value of \(u\) is \(93\).
Solving for an unknown variable is a fundamental skill used in everyday situations, such as managing a budget or planning a schedule. For example, if you have a total of \(\$96\) to spend and you already spent \(\$3\) on a coffee, you can calculate the remaining amount for your other expenses by setting up the equation \(u + 3 = 96\), where \(u\) represents the remaining budget. Solving this gives you the amount you have left to spend: \(u = 96 - 3 = \boxed{93}\).