45.145=1.9-2.79(-3.6b-2.9)

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Solution for 45.145=1.9-2.79(-3.6b-2.9) equation: 


Simplifying
45.145 = 1.9 + -2.79(-3.6b + -2.9)

Reorder the terms:
45.145 = 1.9 + -2.79(-2.9 + -3.6b)
45.145 = 1.9 + (-2.9 * -2.79 + -3.6b * -2.79)
45.145 = 1.9 + (8.091 + 10.044b)

Combine like terms: 1.9 + 8.091 = 9.991
45.145 = 9.991 + 10.044b

Solving
45.145 = 9.991 + 10.044b

Solving for variable 'b'.

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

Add '-10.044b' to each side of the equation.
45.145 + -10.044b = 9.991 + 10.044b + -10.044b

Combine like terms: 10.044b + -10.044b = 0.000
45.145 + -10.044b = 9.991 + 0.000
45.145 + -10.044b = 9.991

Add '-45.145' to each side of the equation.
45.145 + -45.145 + -10.044b = 9.991 + -45.145

Combine like terms: 45.145 + -45.145 = 0.000
0.000 + -10.044b = 9.991 + -45.145
-10.044b = 9.991 + -45.145

Combine like terms: 9.991 + -45.145 = -35.154
-10.044b = -35.154

Divide each side by '-10.044'.
b = 3.5

Simplifying
b = 3.5

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