6-3(w+8)=42

Solution for 6-3(w+8)=42 equation:

Simplifying
6 + -3(w + 8) = 42

Reorder the terms:
6 + -3(8 + w) = 42
6 + (8 * -3 + w * -3) = 42
6 + (-24 + -3w) = 42

Combine like terms: 6 + -24 = -18
-18 + -3w = 42

Solving
-18 + -3w = 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 + -3w = 42 + 18

Combine like terms: -18 + 18 = 0
0 + -3w = 42 + 18
-3w = 42 + 18

Combine like terms: 42 + 18 = 60
-3w = 60

Divide each side by '-3'.
w = -20

Simplifying
w = -20