The answer is a = 2.25.
Simplifying
7 + -4(3a + -5) = 0
Reorder the terms:
7 + -4(-5 + 3a) = 0
7 + (-5 * -4 + 3a * -4) = 0
7 + (20 + -12a) = 0
Combine like terms: 7 + 20 = 27
27 + -12a = 0
Solving
27 + -12a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + -12a = 0 + -27
Combine like terms: 27 + -27 = 0
0 + -12a = 0 + -27
-12a = 0 + -27
Combine like terms: 0 + -27 = -27
-12a = -27
Divide each side by '-12'.
a = 2.25
Simplifying
a = 2.25
