2(2a+3)+6(7-6a)=0

Solution for 2(2a+3)+6(7-6a)=0 equation:

Simplifying
2(2a + 3) + 6(7 + -6a) = 0

Reorder the terms:
2(3 + 2a) + 6(7 + -6a) = 0
(3 * 2 + 2a * 2) + 6(7 + -6a) = 0
(6 + 4a) + 6(7 + -6a) = 0
6 + 4a + (7 * 6 + -6a * 6) = 0
6 + 4a + (42 + -36a) = 0

Reorder the terms:
6 + 42 + 4a + -36a = 0

Combine like terms: 6 + 42 = 48
48 + 4a + -36a = 0

Combine like terms: 4a + -36a = -32a
48 + -32a = 0

Solving
48 + -32a = 0

Solving for variable 'a'.

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

Add '-48' to each side of the equation.
48 + -48 + -32a = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -32a = 0 + -48
-32a = 0 + -48

Combine like terms: 0 + -48 = -48
-32a = -48

Divide each side by '-32'.
a = 1.5

Simplifying
a = 1.5