Question

Solve the following equation:
\[0 = 16 + 4\left( {m - 6} \right)\]

Answer 1

Hint: First write the given equation properly. Then apply distributive property i.e., \[a\left( {b + c} \right) = ab + bc\] to remove the brackets from the equation. So, use this concept to reach the solution of the given problem.

Complete step-by-step answer:

Given equation is \[0 = 16 + 4\left( {m - 6} \right)\] which can be also written as \[16 + 4\left( {m - 6} \right) = 0\]
By applying distributive property i.e., \[a\left( {b + c} \right) = ab + bc\], we have
\[
   \Rightarrow 16 + 4\left( m \right) - 4\left( 6 \right) = 0 \\
   \Rightarrow 16 + 4m - 24 = 0 \\
\]
Adding the like terms, we get
\[ \Rightarrow 4m - 8 = 0\]
Adding 8 on both sides, we get
\[
   \Rightarrow 4m - 8 + 8 = 0 + 8 \\
   \Rightarrow 4m = 8 \\
\]
Dividing both sides with 4, we get
\[
   \Rightarrow \dfrac{{4m}}{4} = \dfrac{8}{4} \\
  \therefore m = 2 \\
\]
Therefore, the value of \[m\] is 2.

Note: In the given equation as \[m\] is the only variable. So, we have to find the way to find the value of \[m\]. Since the given equation is a linear equation in one variable, we obtain only one value for the variable \[m\].