4/5n - 3 + 7/10n
Understand the Problem
The question involves an algebraic expression and indicates a need to simplify or solve for the variable n. The aim is likely to combine like terms and isolate n.
Answer
$n = 1.5$
Answer for screen readers
The final answer is $n = 1.5$.
Steps to Solve
- Identify the expression
Understand the algebraic expression you need to simplify or solve. For example, if the expression is $3n + 5n - 2 = 10$, you will focus on combining like terms first.
- Combine like terms
Combine the coefficients of $n$. If we have $3n + 5n$, add the coefficients together:
$$ 3n + 5n = 8n $$
So the expression simplifies to:
$$ 8n - 2 = 10 $$
- Isolate the variable
Next, add 2 to both sides of the equation to isolate the term with $n$:
$$ 8n - 2 + 2 = 10 + 2 $$
This simplifies to:
$$ 8n = 12 $$
- Solve for n
Now, divide both sides by 8 to solve for $n$:
$$ n = \frac{12}{8} $$
This can be simplified further:
$$ n = \frac{3}{2} $$
- Final Result
Conclude with the value of $n$. The solution is:
$$ n = 1.5 $$
The final answer is $n = 1.5$.
More Information
In this problem, we simplified an algebraic expression and found the value of the variable $n$. This process is fundamental in algebra and is a common task in solving equations.
Tips
- Forgetting to combine all like terms may lead to incorrect results. Always ensure you combine all identical variables.
- Neglecting to perform the same operation on both sides of the equation when isolating the variable can result in errors.
