-3(-3a-2)=5a+42

Solution for -3(-3a-2)=5a+42 equation:

Simplifying
-3(-3a + -2) = 5a + 42

Reorder the terms:
-3(-2 + -3a) = 5a + 42
(-2 * -3 + -3a * -3) = 5a + 42
(6 + 9a) = 5a + 42

Reorder the terms:
6 + 9a = 42 + 5a

Solving
6 + 9a = 42 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
6 + 9a + -5a = 42 + 5a + -5a

Combine like terms: 9a + -5a = 4a
6 + 4a = 42 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + 4a = 42 + 0
6 + 4a = 42

Add '-6' to each side of the equation.
6 + -6 + 4a = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = 42 + -6
4a = 42 + -6

Combine like terms: 42 + -6 = 36
4a = 36

Divide each side by '4'.
a = 9

Simplifying
a = 9