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

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


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

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

Combine like terms: -6.2w + 4.1w = -2.1w
-16.74 + -2.1w = 42.06

Solving
-16.74 + -2.1w = 42.06

Solving for variable 'w'.

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

Add '16.74' to each side of the equation.
-16.74 + 16.74 + -2.1w = 42.06 + 16.74

Combine like terms: -16.74 + 16.74 = 0.00
0.00 + -2.1w = 42.06 + 16.74
-2.1w = 42.06 + 16.74

Combine like terms: 42.06 + 16.74 = 58.8
-2.1w = 58.8

Divide each side by '-2.1'.
w = -28

Simplifying
w = -28

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