-2a+33+7a=3a-9a

Solution for -2a+33+7a=3a-9a equation:

Simplifying
-2a + 33 + 7a = 3a + -9a

Reorder the terms:
33 + -2a + 7a = 3a + -9a

Combine like terms: -2a + 7a = 5a
33 + 5a = 3a + -9a

Combine like terms: 3a + -9a = -6a
33 + 5a = -6a

Solving
33 + 5a = -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.
33 + 5a + 6a = -6a + 6a

Combine like terms: 5a + 6a = 11a
33 + 11a = -6a + 6a

Combine like terms: -6a + 6a = 0
33 + 11a = 0

Add '-33' to each side of the equation.
33 + -33 + 11a = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 11a = 0 + -33
11a = 0 + -33

Combine like terms: 0 + -33 = -33
11a = -33

Divide each side by '11'.
a = -3

Simplifying
a = -3