-4a+6+7a=9a-3a

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

Simplifying
-4a + 6 + 7a = 9a + -3a

Reorder the terms:
6 + -4a + 7a = 9a + -3a

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

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

Solving
6 + 3a = 6a

Solving for variable 'a'.

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

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

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

Combine like terms: 6a + -6a = 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