Question

How do you solve \[4(n + 2) - 2n = 0\] ?

Answer 1

Hint: To solve this equation, the first thing that needs to be done is to simplify all terms as much as possible. Then, evaluate the expression on the left-hand side and simplify the terms. Now, perform operations on both sides of the equation so that only the variable remains on one side. The equation will be solved then.

Complete step by step solution:
We have to solve this expression: \[4(n + 2) - 2n = 0\]
First, we need to open the brackets of the first term to simplify the equation a little.
On opening the brackets, we will obtain: \[4n + 8 - 2n = 0\]
Now, as it is visible, there are two terms which have the given variable. We can perform operations on them to simplify it into a single term.
Thus, by simplification,
  \[2n + 8 = 0\]
By transposing \[8\] to the right-hand side of the equation, we obtain
  \[2n = - 8\]
Now, dividing both sides by \[2\] , we get \[n = - 4\] .
So, the correct answer is “ \[n = - 4\] ”.

Note: Linear Equations in one variable are those equations which have only one variable, and the highest power of that variable is \[1\] . The best method to solve linear equations in one variable is to completely expand the equation by opening all brackets, then evaluate the obtained expression, and find the value of the given variable by the method of transposing, or by performing the same operations on both sides of the equation.