-4a+6+9a=6a-3a

Solution for -4a+6+9a=6a-3a equation:

Simplifying
-4a + 6 + 9a = 6a + -3a

Reorder the terms:
6 + -4a + 9a = 6a + -3a

Combine like terms: -4a + 9a = 5a
6 + 5a = 6a + -3a

Combine like terms: 6a + -3a = 3a
6 + 5a = 3a

Solving
6 + 5a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 5a + -3a = 3a + -3a

Combine like terms: 5a + -3a = 2a
6 + 2a = 3a + -3a

Combine like terms: 3a + -3a = 0
6 + 2a = 0

Add '-6' to each side of the equation.
6 + -6 + 2a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 0 + -6
2a = 0 + -6

Combine like terms: 0 + -6 = -6
2a = -6

Divide each side by '2'.
a = -3

Simplifying
a = -3