4.2=-6w+42.6

Solution for 4.2=-6w+42.6 equation:

Simplifying
4.2 = -6w + 42.6

Reorder the terms:
4.2 = 42.6 + -6w

Solving
4.2 = 42.6 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
4.2 + 6w = 42.6 + -6w + 6w

Combine like terms: -6w + 6w = 0
4.2 + 6w = 42.6 + 0
4.2 + 6w = 42.6

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 6w = 42.6 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 6w = 42.6 + -4.2
6w = 42.6 + -4.2

Combine like terms: 42.6 + -4.2 = 38.4
6w = 38.4

Divide each side by '6'.
w = 6.4

Simplifying
w = 6.4