3(3a-2)-1=-43

Solution for 3(3a-2)-1=-43 equation:

Simplifying
3(3a + -2) + -1 = -43

Reorder the terms:
3(-2 + 3a) + -1 = -43
(-2 * 3 + 3a * 3) + -1 = -43
(-6 + 9a) + -1 = -43

Reorder the terms:
-6 + -1 + 9a = -43

Combine like terms: -6 + -1 = -7
-7 + 9a = -43

Solving
-7 + 9a = -43

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 9a = -43 + 7

Combine like terms: -7 + 7 = 0
0 + 9a = -43 + 7
9a = -43 + 7

Combine like terms: -43 + 7 = -36
9a = -36

Divide each side by '9'.
a = -4

Simplifying
a = -4