3(5k-3k)-6=42

Solution for 3(5k-3k)-6=42 equation:

Simplifying
3(5k + -3k) + -6 = 42

Combine like terms: 5k + -3k = 2k
3(2k) + -6 = 42

Remove parenthesis around (2k)
3 * 2k + -6 = 42

Multiply 3 * 2
6k + -6 = 42

Reorder the terms:
-6 + 6k = 42

Solving
-6 + 6k = 42

Solving for variable 'k'.

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

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

Combine like terms: -6 + 6 = 0
0 + 6k = 42 + 6
6k = 42 + 6

Combine like terms: 42 + 6 = 48
6k = 48

Divide each side by '6'.
k = 8

Simplifying
k = 8