Question

How do you solve $ - 232 = 6\left( { - 7n + 3} \right) - 8n$?

Answer 1

Hint: In this problem we have not given any equation but we have given some negative integer is equal to subtraction of two terms, in that two terms contain some unknown variable. And we asked to solve the given terms. We can find the result by keeping the variables in one side and taking the numbers in one side and then we have to simplify and then we have to find the unknown variable.

Complete step-by-step solution:
Given term is $ - 232 = 6\left( { - 7n + 3} \right) - 8n$
We are asked to solve the given term.
 For solving the given term we are going to use the distributive property in the right hand side of the given term.
The first term of the right hand side is $6\left( { - 7n + 3} \right)$, now we are going to apply the distributive property, we get
$ \Rightarrow - 232 = - 42n + 18 - 8n$,
On adding the coefficients of $n$, we get
$ \Rightarrow - 232 = - 50n + 18$,
Now let’s keep the integers in one side.
$ \Rightarrow 50n = 232 + 18$,
On adding the integers in the right hand side we get
$ \Rightarrow 50n = 250$
Let’s find the value of $n$
$ \Rightarrow n = \dfrac{{250}}{{50}}$
$\therefore n = 5$

Therefore the value of n is 5.

Note: An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables. An algebraic equation or polynomial equation is an equation in which both sides are polynomials. These are further classified by degree; linear equation for degree one, quadratic equation for degree two and cubic equation for degree three.
We have given some terms with one unknown variable that is $n$. We solved this problem by finding the value of $n$. We need to be careful about the signs. If we take the negative term to the other side of equal to symbol then it will turn to positive and vice versa.