-1.6w+0.9=1.4w-8.1

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Solution for -1.6w+0.9=1.4w-8.1 equation: 


Simplifying
-1.6w + 0.9 = 1.4w + -8.1

Reorder the terms:
0.9 + -1.6w = 1.4w + -8.1

Reorder the terms:
0.9 + -1.6w = -8.1 + 1.4w

Solving
0.9 + -1.6w = -8.1 + 1.4w

Solving for variable 'w'.

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

Add '-1.4w' to each side of the equation.
0.9 + -1.6w + -1.4w = -8.1 + 1.4w + -1.4w

Combine like terms: -1.6w + -1.4w = -3w
0.9 + -3w = -8.1 + 1.4w + -1.4w

Combine like terms: 1.4w + -1.4w = 0.0
0.9 + -3w = -8.1 + 0.0
0.9 + -3w = -8.1

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -3w = -8.1 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -3w = -8.1 + -0.9
-3w = -8.1 + -0.9

Combine like terms: -8.1 + -0.9 = -9
-3w = -9

Divide each side by '-3'.
w = 3

Simplifying
w = 3

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