-2a+6+9a=7a-3a

Solution for -2a+6+9a=7a-3a equation:

Simplifying
-2a + 6 + 9a = 7a + -3a

Reorder the terms:
6 + -2a + 9a = 7a + -3a

Combine like terms: -2a + 9a = 7a
6 + 7a = 7a + -3a

Combine like terms: 7a + -3a = 4a
6 + 7a = 4a

Solving
6 + 7a = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 7a + -4a = 4a + -4a

Combine like terms: 7a + -4a = 3a
6 + 3a = 4a + -4a

Combine like terms: 4a + -4a = 0
6 + 3a = 0

Add '-6' to each side of the equation.
6 + -6 + 3a = 0 + -6

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

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

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

Simplifying
a = -2