6a+14=-7-a
you simplify the equation to the form, which is simple to understand
6a+14=-7-a
you move all terms containing a to the left and all other terms to the right.
+6a+1a=-7-14
you need to simplify left and right side of the equation.
+7a=-21
you divide both sides of the equation by 7 to get a.
a=-3