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

Solution for 4(3a+13)+3(a+4)= 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 = 15a
64 + 15a = 0

Solving
64 + 15a = 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 + 15a = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 15a = 0 + -64
15a = 0 + -64

Combine like terms: 0 + -64 = -64
15a = -64

Divide each side by '15'.
a = -4.266666667

Simplifying
a = -4.266666667