.166(6w-12)=6-2(w-2)

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Solution for .166(6w-12)=6-2(w-2) equation: 


Simplifying
0.166(6w + -12) = 6 + -2(w + -2)

Reorder the terms:
0.166(-12 + 6w) = 6 + -2(w + -2)
(-12 * 0.166 + 6w * 0.166) = 6 + -2(w + -2)
(-1.992 + 0.996w) = 6 + -2(w + -2)

Reorder the terms:
-1.992 + 0.996w = 6 + -2(-2 + w)
-1.992 + 0.996w = 6 + (-2 * -2 + w * -2)
-1.992 + 0.996w = 6 + (4 + -2w)

Combine like terms: 6 + 4 = 10
-1.992 + 0.996w = 10 + -2w

Solving
-1.992 + 0.996w = 10 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-1.992 + 0.996w + 2w = 10 + -2w + 2w

Combine like terms: 0.996w + 2w = 2.996w
-1.992 + 2.996w = 10 + -2w + 2w

Combine like terms: -2w + 2w = 0
-1.992 + 2.996w = 10 + 0
-1.992 + 2.996w = 10

Add '1.992' to each side of the equation.
-1.992 + 1.992 + 2.996w = 10 + 1.992

Combine like terms: -1.992 + 1.992 = 0.000
0.000 + 2.996w = 10 + 1.992
2.996w = 10 + 1.992

Combine like terms: 10 + 1.992 = 11.992
2.996w = 11.992

Divide each side by '2.996'.
w = 4.002670227

Simplifying
w = 4.002670227

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