4(-3a+13)+3(a+4)=0

Solution for 4(-3a+13)+3(a+4)=0 equation:

Simplifying
4(-3a + 13) + 3(a + 4) = 0

Reorder the terms:
4(13 + -3a) + 3(a + 4) = 0
(13 * 4 + -3a * 4) + 3(a + 4) = 0
(52 + -12a) + 3(a + 4) = 0

Reorder the terms:
52 + -12a + 3(4 + a) = 0
52 + -12a + (4 * 3 + a * 3) = 0
52 + -12a + (12 + 3a) = 0

Reorder the terms:
52 + 12 + -12a + 3a = 0

Combine like terms: 52 + 12 = 64
64 + -12a + 3a = 0

Combine like terms: -12a + 3a = -9a
64 + -9a = 0

Solving
64 + -9a = 0

Solving for variable 'a'.

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

Add '-64' to each side of the equation.
64 + -64 + -9a = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -9a = 0 + -64
-9a = 0 + -64

Combine like terms: 0 + -64 = -64
-9a = -64

Divide each side by '-9'.
a = 7.111111111

Simplifying
a = 7.111111111