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

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

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

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

Combine like terms: -3a + 7a = 4a
6 + 4a = 9a + -2a

Combine like terms: 9a + -2a = 7a
6 + 4a = 7a

Solving
6 + 4a = 7a

Solving for variable 'a'.

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

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

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

Combine like terms: 7a + -7a = 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