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

  1. 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.

  1. 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:

$$ 8n - 2 = 10 $$

  1. 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:

$$ 8n = 12 $$

  1. Solve for n

Now, divide both sides by 8 to solve for $n$:

$$ n = \frac{12}{8} $$

This can be simplified further:

$$ n = \frac{3}{2} $$

  1. 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.

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