6=0.2w+1.4w-4

Solution for 6=0.2w+1.4w-4 equation:

Simplifying
6 = 0.2w + 1.4w + -4

Reorder the terms:
6 = -4 + 0.2w + 1.4w

Combine like terms: 0.2w + 1.4w = 1.6w
6 = -4 + 1.6w

Solving
6 = -4 + 1.6w

Solving for variable 'w'.

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

Add '-1.6w' to each side of the equation.
6 + -1.6w = -4 + 1.6w + -1.6w

Combine like terms: 1.6w + -1.6w = 0.0
6 + -1.6w = -4 + 0.0
6 + -1.6w = -4

Add '-6' to each side of the equation.
6 + -6 + -1.6w = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1.6w = -4 + -6
-1.6w = -4 + -6

Combine like terms: -4 + -6 = -10
-1.6w = -10

Divide each side by '-1.6'.
w = 6.25

Simplifying
w = 6.25