4(3a+1)+6(3-a)=

Solution for 4(3a+1)+6(3-a)= equation:

Simplifying
4(3a + 1) + 6(3 + -1a) = 0

Reorder the terms:
4(1 + 3a) + 6(3 + -1a) = 0
(1 * 4 + 3a * 4) + 6(3 + -1a) = 0
(4 + 12a) + 6(3 + -1a) = 0
4 + 12a + (3 * 6 + -1a * 6) = 0
4 + 12a + (18 + -6a) = 0

Reorder the terms:
4 + 18 + 12a + -6a = 0

Combine like terms: 4 + 18 = 22
22 + 12a + -6a = 0

Combine like terms: 12a + -6a = 6a
22 + 6a = 0

Solving
22 + 6a = 0

Solving for variable 'a'.

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

Add '-22' to each side of the equation.
22 + -22 + 6a = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 6a = 0 + -22
6a = 0 + -22

Combine like terms: 0 + -22 = -22
6a = -22

Divide each side by '6'.
a = -3.666666667

Simplifying
a = -3.666666667