-3.5(-4-9a)=30+43.5

Solution for -3.5(-4-9a)=30+43.5 equation:

Simplifying
-3.5(-4 + -9a) = 30 + 43.5
(-4 * -3.5 + -9a * -3.5) = 30 + 43.5
(14 + 31.5a) = 30 + 43.5

Combine like terms: 30 + 43.5 = 73.5
14 + 31.5a = 73.5

Solving
14 + 31.5a = 73.5

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + 31.5a = 73.5 + -14

Combine like terms: 14 + -14 = 0
0 + 31.5a = 73.5 + -14
31.5a = 73.5 + -14

Combine like terms: 73.5 + -14 = 59.5
31.5a = 59.5

Divide each side by '31.5'.
a = 1.888888889

Simplifying
a = 1.888888889