We want to solve the following expression for m:
[tex]7(m+5)=21[/tex]First, we use the distributive property, and multiply 7 by each term inside the parenthesis:
[tex]\begin{gathered} 7m+7\cdot5=21 \\ \text{as we have }7\cdot5=35\text{ we obtain} \\ 7m+35=21 \end{gathered}[/tex]Now, we substract 35 both sides of the equation:
[tex]\begin{gathered} 7m+35-35=21-35 \\ 7m+0=-14 \\ 7m=-14 \end{gathered}[/tex]And finally, we divide both sides by 7:
[tex]\begin{gathered} \frac{7m}{7}=\frac{-14}{7} \\ m=-2 \end{gathered}[/tex]This means that the value of m is -2.
