0.2(-15w-20)+0.5(3-4w)=

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Solution for 0.2(-15w-20)+0.5(3-4w)= equation: 


Simplifying
0.2(-15w + -20) + 0.5(3 + -4w) = 0

Reorder the terms:
0.2(-20 + -15w) + 0.5(3 + -4w) = 0
(-20 * 0.2 + -15w * 0.2) + 0.5(3 + -4w) = 0
(-4 + -3w) + 0.5(3 + -4w) = 0
-4 + -3w + (3 * 0.5 + -4w * 0.5) = 0
-4 + -3w + (1.5 + -2w) = 0

Reorder the terms:
-4 + 1.5 + -3w + -2w = 0

Combine like terms: -4 + 1.5 = -2.5
-2.5 + -3w + -2w = 0

Combine like terms: -3w + -2w = -5w
-2.5 + -5w = 0

Solving
-2.5 + -5w = 0

Solving for variable 'w'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -5w = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -5w = 0 + 2.5
-5w = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
-5w = 2.5

Divide each side by '-5'.
w = -0.5

Simplifying
w = -0.5

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