Understand the Problem
The image contains a math worksheet focusing on solving two-step equations, showcasing various solved problems, including variables and equations. It illustrates the student's process in solving these mathematical equations step by step.
Answer
The value of $n$ is $16$.
Answer for screen readers
The final answer is $n = 16$.
Steps to Solve
- Identify the equation and variables
The last equation from the image is $-2 - \frac{n}{2} = -10$. Here, we need to solve for the variable $n$.
- Isolate the term with the variable
To isolate $\frac{n}{2}$, add $2$ to both sides of the equation:
$$ -\frac{n}{2} = -10 + 2 $$
This simplifies to:
$$ -\frac{n}{2} = -8 $$
- Eliminate the negative sign
Multiply both sides by $-1$ to eliminate the negative sign:
$$ \frac{n}{2} = 8 $$
- Solve for the variable
Now, to get $n$, multiply both sides by $2$:
$$ n = 8 \times 2 $$
This results in:
$$ n = 16 $$
The final answer is $n = 16$.
More Information
This process demonstrates how to isolate a variable in a linear equation through systematic steps. It's a common approach in algebra to solve for variables in two-step equations.
Tips
- Neglecting to apply the same operation to both sides of the equation can lead to incorrect solutions. Always ensure you maintain equality.
- Forgetting to eliminate negative signs properly may complicate the problem.
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