(3-w)(1+5)-12=0

Solution for (3-w)(1+5)-12=0 equation:

Simplifying
(3 + -1w)(1 + 5) + -12 = 0

Combine like terms: 1 + 5 = 6
(3 + -1w)(6) + -12 = 0

Reorder the terms for easier multiplication:
6(3 + -1w) + -12 = 0
(3 * 6 + -1w * 6) + -12 = 0
(18 + -6w) + -12 = 0

Reorder the terms:
18 + -12 + -6w = 0

Combine like terms: 18 + -12 = 6
6 + -6w = 0

Solving
6 + -6w = 0

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 + -6w = 0 + -6

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

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

Divide each side by '-6'.
w = 1

Simplifying
w = 1