w-.25w-1.5=-1.5(w+0.5)

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Solution for w-.25w-1.5=-1.5(w+0.5) equation: 


Simplifying
w + -0.25w + -1.5 = -1.5(w + 0.5)

Reorder the terms:
-1.5 + w + -0.25w = -1.5(w + 0.5)

Combine like terms: w + -0.25w = 0.75w
-1.5 + 0.75w = -1.5(w + 0.5)

Reorder the terms:
-1.5 + 0.75w = -1.5(0.5 + w)
-1.5 + 0.75w = (0.5 * -1.5 + w * -1.5)
-1.5 + 0.75w = (-0.75 + -1.5w)

Solving
-1.5 + 0.75w = -0.75 + -1.5w

Solving for variable 'w'.

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

Add '1.5w' to each side of the equation.
-1.5 + 0.75w + 1.5w = -0.75 + -1.5w + 1.5w

Combine like terms: 0.75w + 1.5w = 2.25w
-1.5 + 2.25w = -0.75 + -1.5w + 1.5w

Combine like terms: -1.5w + 1.5w = 0.0
-1.5 + 2.25w = -0.75 + 0.0
-1.5 + 2.25w = -0.75

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2.25w = -0.75 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2.25w = -0.75 + 1.5
2.25w = -0.75 + 1.5

Combine like terms: -0.75 + 1.5 = 0.75
2.25w = 0.75

Divide each side by '2.25'.
w = 0.3333333333

Simplifying
w = 0.3333333333

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