(3a+6)+4(3a+7)+9a=

Solution for (3a+6)+4(3a+7)+9a= equation:

Simplifying
(3a + 6) + 4(3a + 7) + 9a = 0

Reorder the terms:
(6 + 3a) + 4(3a + 7) + 9a = 0

Remove parenthesis around (6 + 3a)
6 + 3a + 4(3a + 7) + 9a = 0

Reorder the terms:
6 + 3a + 4(7 + 3a) + 9a = 0
6 + 3a + (7 * 4 + 3a * 4) + 9a = 0
6 + 3a + (28 + 12a) + 9a = 0

Reorder the terms:
6 + 28 + 3a + 12a + 9a = 0

Combine like terms: 6 + 28 = 34
34 + 3a + 12a + 9a = 0

Combine like terms: 3a + 12a = 15a
34 + 15a + 9a = 0

Combine like terms: 15a + 9a = 24a
34 + 24a = 0

Solving
34 + 24a = 0

Solving for variable 'a'.

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

Add '-34' to each side of the equation.
34 + -34 + 24a = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 24a = 0 + -34
24a = 0 + -34

Combine like terms: 0 + -34 = -34
24a = -34

Divide each side by '24'.
a = -1.416666667

Simplifying
a = -1.416666667