-1.6+0.4w=0.5(w+2)

Solution for -1.6+0.4w=0.5(w+2) equation:

Simplifying
-1.6 + 0.4w = 0.5(w + 2)

Reorder the terms:
-1.6 + 0.4w = 0.5(2 + w)
-1.6 + 0.4w = (2 * 0.5 + w * 0.5)
-1.6 + 0.4w = (1 + 0.5w)

Solving
-1.6 + 0.4w = 1 + 0.5w

Solving for variable 'w'.

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

Add '-0.5w' to each side of the equation.
-1.6 + 0.4w + -0.5w = 1 + 0.5w + -0.5w

Combine like terms: 0.4w + -0.5w = -0.1w
-1.6 + -0.1w = 1 + 0.5w + -0.5w

Combine like terms: 0.5w + -0.5w = 0.0
-1.6 + -0.1w = 1 + 0.0
-1.6 + -0.1w = 1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.1w = 1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.1w = 1 + 1.6
-0.1w = 1 + 1.6

Combine like terms: 1 + 1.6 = 2.6
-0.1w = 2.6

Divide each side by '-0.1'.
w = -26

Simplifying
w = -26