Question

How do you solve $9\left( {p - 4} \right) = 18$?

Answer 1

Hint: In this question, we have to solve the equation $9\left( {p - 4} \right) = 18$. This equation is in the form of a linear equation of one variable which is expressed in the form of $ax + b = 0$. Where ‘a’ and ‘b’ are two integers, and x is a variable and has only one solution.
The steps for solving the linear equation of one variable are as below.
Simplify each side, if needed.
Use addition or subtraction properties to move the variable term to one side and all other terms to the other side.
Use multiplication or division properties to remove any values that are in front of the variable.
Check the answer.

Complete step-by-step answer:
In this question, we want to solve the linear equation.
The given linear equation is as below.
 $ \Rightarrow 9\left( {p - 4} \right) = 18$
Let us solve the above equation.
Divide both sides by 9 and simplify.
$ \Rightarrow \dfrac{{9\left( {p - 4} \right)}}{9} = \dfrac{{18}}{9}$
Now, let us cancel the common factors of 9.
So, we will get the answer:
$ \Rightarrow \left( {p - 4} \right) = 2$
Now, let us add 4 on both sides.
$ \Rightarrow p - 4 + 4 = 2 + 4$
That is equal to,
$ \Rightarrow p = 6$

Hence, by solving the linear equation we will get the value of p is 6.

Note:
We can check our answer by substituting the value of p in the given linear equation.
Here, the given linear equation is as below.
$ \Rightarrow 9\left( {p - 4} \right) = 18$
Now, let us put the value of p.
The value of p is 6.
Therefore,
$ \Rightarrow 9\left( {6 - 4} \right) = 18$
Let us subtract 6 and 4 on the left-hand side.
$ \Rightarrow 9\left( 2 \right) = 18$
Now, multiply 9 and 2 on the left-hand side.
$ \Rightarrow 18 = 18$
Here, we get the left-hand side and the right-hand side equal.
Hence, the answer is correct.