1-0.4(w-2)=0.2(11w-2)

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Solution for 1-0.4(w-2)=0.2(11w-2) equation: 


Simplifying
1 + -0.4(w + -2) = 0.2(11w + -2)

Reorder the terms:
1 + -0.4(-2 + w) = 0.2(11w + -2)
1 + (-2 * -0.4 + w * -0.4) = 0.2(11w + -2)
1 + (0.8 + -0.4w) = 0.2(11w + -2)

Combine like terms: 1 + 0.8 = 1.8
1.8 + -0.4w = 0.2(11w + -2)

Reorder the terms:
1.8 + -0.4w = 0.2(-2 + 11w)
1.8 + -0.4w = (-2 * 0.2 + 11w * 0.2)
1.8 + -0.4w = (-0.4 + 2.2w)

Solving
1.8 + -0.4w = -0.4 + 2.2w

Solving for variable 'w'.

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

Add '-2.2w' to each side of the equation.
1.8 + -0.4w + -2.2w = -0.4 + 2.2w + -2.2w

Combine like terms: -0.4w + -2.2w = -2.6w
1.8 + -2.6w = -0.4 + 2.2w + -2.2w

Combine like terms: 2.2w + -2.2w = 0.0
1.8 + -2.6w = -0.4 + 0.0
1.8 + -2.6w = -0.4

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -2.6w = -0.4 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -2.6w = -0.4 + -1.8
-2.6w = -0.4 + -1.8

Combine like terms: -0.4 + -1.8 = -2.2
-2.6w = -2.2

Divide each side by '-2.6'.
w = 0.8461538462

Simplifying
w = 0.8461538462

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