-2w+42=(w-6)

Solution for -2w+42=(w-6) equation:

Simplifying
-2w + 42 = (w + -6)

Reorder the terms:
42 + -2w = (w + -6)

Reorder the terms:
42 + -2w = (-6 + w)

Remove parenthesis around (-6 + w)
42 + -2w = -6 + w

Solving
42 + -2w = -6 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
42 + -2w + -1w = -6 + w + -1w

Combine like terms: -2w + -1w = -3w
42 + -3w = -6 + w + -1w

Combine like terms: w + -1w = 0
42 + -3w = -6 + 0
42 + -3w = -6

Add '-42' to each side of the equation.
42 + -42 + -3w = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -3w = -6 + -42
-3w = -6 + -42

Combine like terms: -6 + -42 = -48
-3w = -48

Divide each side by '-3'.
w = 16

Simplifying
w = 16