This problem is about a linear equation, where its variable is a.
First, we need to subtract each side of the equation by 7-
[tex]-a+7-7=11-7[/tex][tex]-a=4[/tex]Now, we need to multiply the equation by -1, to have the variable positive
[tex]-a(-1)=4(-1)[/tex][tex]a=-4[/tex]Once we have the value of the variable, we can check if the answer is right. To do that, we just need to substitute this value in the given equation.
[tex]-a+7=11[/tex][tex]-(-4)+7=11[/tex][tex]4+7=11\text{ }\rightarrow\text{ 11=11}[/tex]As you can observe, the answer satisfies the equation.