4(w-3)-6=42

Solution for 4(w-3)-6=42 equation:

Simplifying
4(w + -3) + -6 = 42

Reorder the terms:
4(-3 + w) + -6 = 42
(-3 * 4 + w * 4) + -6 = 42
(-12 + 4w) + -6 = 42

Reorder the terms:
-12 + -6 + 4w = 42

Combine like terms: -12 + -6 = -18
-18 + 4w = 42

Solving
-18 + 4w = 42

Solving for variable 'w'.

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

Add '18' to each side of the equation.
-18 + 18 + 4w = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 4w = 42 + 18
4w = 42 + 18

Combine like terms: 42 + 18 = 60
4w = 60

Divide each side by '4'.
w = 15

Simplifying
w = 15