0.333333333(3w-6)=-0.5(2w-4)

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Solution for 0.333333333(3w-6)=-0.5(2w-4) equation:


Simplifying
0.333333333(3w + -6) = -0.5(2w + -4)

Reorder the terms:
0.333333333(-6 + 3w) = -0.5(2w + -4)
(-6 * 0.333333333 + 3w * 0.333333333) = -0.5(2w + -4)
(-1.999999998 + 0.999999999w) = -0.5(2w + -4)

Reorder the terms:
-1.999999998 + 0.999999999w = -0.5(-4 + 2w)
-1.999999998 + 0.999999999w = (-4 * -0.5 + 2w * -0.5)
-1.999999998 + 0.999999999w = (2 + -1w)

Solving
-1.999999998 + 0.999999999w = 2 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
-1.999999998 + 0.999999999w + w = 2 + -1w + w

Combine like terms: 0.999999999w + w = 1.999999999w
-1.999999998 + 1.999999999w = 2 + -1w + w

Combine like terms: -1w + w = 0
-1.999999998 + 1.999999999w = 2 + 0
-1.999999998 + 1.999999999w = 2

Add '1.999999998' to each side of the equation.
-1.999999998 + 1.999999998 + 1.999999999w = 2 + 1.999999998

Combine like terms: -1.999999998 + 1.999999998 = 0.000000000
0.000000000 + 1.999999999w = 2 + 1.999999998
1.999999999w = 2 + 1.999999998

Combine like terms: 2 + 1.999999998 = 3.999999998
1.999999999w = 3.999999998

Divide each side by '1.999999999'.
w = 2

Simplifying
w = 2

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