0.5(0.5w-1)=0.6(2-0.5w)

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Solution for 0.5(0.5w-1)=0.6(2-0.5w) equation: 


Simplifying
0.5(0.5w + -1) = 0.6(2 + -0.5w)

Reorder the terms:
0.5(-1 + 0.5w) = 0.6(2 + -0.5w)
(-1 * 0.5 + 0.5w * 0.5) = 0.6(2 + -0.5w)
(-0.5 + 0.25w) = 0.6(2 + -0.5w)
-0.5 + 0.25w = (2 * 0.6 + -0.5w * 0.6)
-0.5 + 0.25w = (1.2 + -0.3w)

Solving
-0.5 + 0.25w = 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.
-0.5 + 0.25w + 0.3w = 1.2 + -0.3w + 0.3w

Combine like terms: 0.25w + 0.3w = 0.55w
-0.5 + 0.55w = 1.2 + -0.3w + 0.3w

Combine like terms: -0.3w + 0.3w = 0.0
-0.5 + 0.55w = 1.2 + 0.0
-0.5 + 0.55w = 1.2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.55w = 1.2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.55w = 1.2 + 0.5
0.55w = 1.2 + 0.5

Combine like terms: 1.2 + 0.5 = 1.7
0.55w = 1.7

Divide each side by '0.55'.
w = 3.090909091

Simplifying
w = 3.090909091

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