-4.1(-0.505-4.5b)=3.7b-25.217

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Solution for -4.1(-0.505-4.5b)=3.7b-25.217 equation: 


Simplifying
-4.1(-0.505 + -4.5b) = 3.7b + -25.217
(-0.505 * -4.1 + -4.5b * -4.1) = 3.7b + -25.217
(2.0705 + 18.45b) = 3.7b + -25.217

Reorder the terms:
2.0705 + 18.45b = -25.217 + 3.7b

Solving
2.0705 + 18.45b = -25.217 + 3.7b

Solving for variable 'b'.

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

Add '-3.7b' to each side of the equation.
2.0705 + 18.45b + -3.7b = -25.217 + 3.7b + -3.7b

Combine like terms: 18.45b + -3.7b = 14.75b
2.0705 + 14.75b = -25.217 + 3.7b + -3.7b

Combine like terms: 3.7b + -3.7b = 0.0
2.0705 + 14.75b = -25.217 + 0.0
2.0705 + 14.75b = -25.217

Add '-2.0705' to each side of the equation.
2.0705 + -2.0705 + 14.75b = -25.217 + -2.0705

Combine like terms: 2.0705 + -2.0705 = 0.0000
0.0000 + 14.75b = -25.217 + -2.0705
14.75b = -25.217 + -2.0705

Combine like terms: -25.217 + -2.0705 = -27.2875
14.75b = -27.2875

Divide each side by '14.75'.
b = -1.85

Simplifying
b = -1.85

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