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Isolating the variable is a crucial step when solving linear equations. The idea is to get the variable by itself on one side of the equation. This makes it easier to determine its value.

In the given exercise, \( 5 t - 1 = -11 \), we start by isolating the term with the variable on the left side.

• First, add 1 to both sides of the equation:

\[ 5t - 1 + 1 = -11 + 1 \ 5t = -10 \]

Adding 1 cancels out the -1, simplifying the equation. This step is often called 'undoing' since it reverses the subtraction operation.

Isolating the variable becomes easier if you practice regularly. Remember to do the same operation on both sides of the equation to maintain balance.

Breaking down problems into clear steps is essential for understanding and solving equations. Each step moves you closer to the solution without errors.

In our exercise, we used a two-step process:

• First, we isolated the term with the variable by adding 1 to both sides.
• Next, we solved for the variable by dividing both sides by 5.

Let's focus on the second step:

To find \( t \), divide both sides by 5:
\[ \frac{5t}{5} = \frac{-10}{5} \ t = -2 \]

Dividing by 5 simplifies our equation to \( t = -2 \).

Each step should be clear and logical. Writing down every action helps prevent mistakes and clarifies each transition from one step to the next.

Prealgebra is the foundation of more advanced math topics. It sets the stage for understanding and solving algebraic equations.

Let's take a closer look at how to approach prealgebra problems:

1. **Read the Problem:** Make sure you understand what the equation is asking you to find.
2. **Isolate the Variable:** Perform the necessary steps to get the variable by itself.
3. **Solve the Equation:** Complete the final steps to find the value of the variable.

For example, in our exercise:

• Start with \( 5 t - 1 = -11 \).
• Isolate \( 5 t \) by adding 1 to both sides: \( 5 t = -10 \).
• Divide both sides by 5 to solve for \( t \): \( t = -2 \).

Prealgebra skills require practice and patience. Paying attention to each step and double-checking your work can improve your problem-solving abilities. Practice different types of problems regularly to master these concepts.