Question

How do you solve \[0=-5n-2n\]?

Answer 1

Hint: In this problem, we have to solve and find the value of n. We can see that the equation is in an easier manner to solve for n, as it has the similar terms to be simplified to find the value of n. We can just add the terms in the right-hand side and divide the number -7 on both the left-hand side and the right-hand side of the equation to get the value of n.

Complete step by step solution:
We know that the given equation to be solved is,
 \[0=-5n-2n\]
We can now simplify the terms in the right-hand side, we get
\[\Rightarrow 0=-7n\]
We can now simplify the above step by multiplying –1 on both sides, we get
\[\Rightarrow 0=7n\]
We can now simplify the above step by dividing 7 on both sides, and cancel the terms with variables in the right-hand side, we get
\[\Rightarrow n=0\]

Therefore, the value of n is 0.

Note: In this problem, we have given a direct equation, which can be simplified in a simple way. We can also substitute the resulted value for which n is equal to 0, in the given equation to check whether the resulted value 0 is correct or not. We can now verify for the correct result.
We can substitute n = 0 in \[0=-5n-2n\],
\[\begin{align}
  & \Rightarrow 0=-5\left( 0 \right)-2\left( 0 \right) \\
 & \Rightarrow 0=0 \\
\end{align}\]
Therefore, the value n = 0 is correct for the given equation.
Hence the value of n is 0.