6(2a+1)+3(2+3a)=

Solution for 6(2a+1)+3(2+3a)= equation:

Simplifying
6(2a + 1) + 3(2 + 3a) = 0

Reorder the terms:
6(1 + 2a) + 3(2 + 3a) = 0
(1 * 6 + 2a * 6) + 3(2 + 3a) = 0
(6 + 12a) + 3(2 + 3a) = 0
6 + 12a + (2 * 3 + 3a * 3) = 0
6 + 12a + (6 + 9a) = 0

Reorder the terms:
6 + 6 + 12a + 9a = 0

Combine like terms: 6 + 6 = 12
12 + 12a + 9a = 0

Combine like terms: 12a + 9a = 21a
12 + 21a = 0

Solving
12 + 21a = 0

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 21a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 21a = 0 + -12
21a = 0 + -12

Combine like terms: 0 + -12 = -12
21a = -12

Divide each side by '21'.
a = -0.5714285714

Simplifying
a = -0.5714285714