-6(3w+1)-w=32

Solution for -6(3w+1)-w=32 equation:

Simplifying
-6(3w + 1) + -1w = 32

Reorder the terms:
-6(1 + 3w) + -1w = 32
(1 * -6 + 3w * -6) + -1w = 32
(-6 + -18w) + -1w = 32

Combine like terms: -18w + -1w = -19w
-6 + -19w = 32

Solving
-6 + -19w = 32

Solving for variable 'w'.

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

Add '6' to each side of the equation.
-6 + 6 + -19w = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -19w = 32 + 6
-19w = 32 + 6

Combine like terms: 32 + 6 = 38
-19w = 38

Divide each side by '-19'.
w = -2

Simplifying
w = -2