-3.1(2w+5.4)+4.1=42.06

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Solution for -3.1(2w+5.4)+4.1=42.06 equation: 


Simplifying
-3.1(2w + 5.4) + 4.1 = 42.06

Reorder the terms:
-3.1(5.4 + 2w) + 4.1 = 42.06
(5.4 * -3.1 + 2w * -3.1) + 4.1 = 42.06
(-16.74 + -6.2w) + 4.1 = 42.06

Reorder the terms:
-16.74 + 4.1 + -6.2w = 42.06

Combine like terms: -16.74 + 4.1 = -12.64
-12.64 + -6.2w = 42.06

Solving
-12.64 + -6.2w = 42.06

Solving for variable 'w'.

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

Add '12.64' to each side of the equation.
-12.64 + 12.64 + -6.2w = 42.06 + 12.64

Combine like terms: -12.64 + 12.64 = 0.00
0.00 + -6.2w = 42.06 + 12.64
-6.2w = 42.06 + 12.64

Combine like terms: 42.06 + 12.64 = 54.7
-6.2w = 54.7

Divide each side by '-6.2'.
w = -8.822580645

Simplifying
w = -8.822580645

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