-1(w+.2)=.3(4-w)

Solution for -1(w+.2)=.3(4-w) equation:

Simplifying
-1(w + 0.2) = 0.3(4 + -1w)

Reorder the terms:
-1(0.2 + w) = 0.3(4 + -1w)
(0.2 * -1 + w * -1) = 0.3(4 + -1w)
(-0.2 + -1w) = 0.3(4 + -1w)
-0.2 + -1w = (4 * 0.3 + -1w * 0.3)
-0.2 + -1w = (1.2 + -0.3w)

Solving
-0.2 + -1w = 1.2 + -0.3w

Solving for variable 'w'.

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

Add '0.3w' to each side of the equation.
-0.2 + -1w + 0.3w = 1.2 + -0.3w + 0.3w

Combine like terms: -1w + 0.3w = -0.7w
-0.2 + -0.7w = 1.2 + -0.3w + 0.3w

Combine like terms: -0.3w + 0.3w = 0.0
-0.2 + -0.7w = 1.2 + 0.0
-0.2 + -0.7w = 1.2

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -0.7w = 1.2 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.7w = 1.2 + 0.2
-0.7w = 1.2 + 0.2

Combine like terms: 1.2 + 0.2 = 1.4
-0.7w = 1.4

Divide each side by '-0.7'.
w = -2

Simplifying
w = -2