6(3a)-1=-42

Solution for 6(3a)-1=-42 equation:

Simplifying
6(3a) + -1 = -42

Remove parenthesis around (3a)
6 * 3a + -1 = -42

Multiply 6 * 3
18a + -1 = -42

Reorder the terms:
-1 + 18a = -42

Solving
-1 + 18a = -42

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 18a = -42 + 1

Combine like terms: -1 + 1 = 0
0 + 18a = -42 + 1
18a = -42 + 1

Combine like terms: -42 + 1 = -41
18a = -41

Divide each side by '18'.
a = -2.277777778

Simplifying
a = -2.277777778