0.83(24-36b)=10(2b+4)

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Solution for 0.83(24-36b)=10(2b+4) equation: 


Simplifying
0.83(24 + -36b) = 10(2b + 4)
(24 * 0.83 + -36b * 0.83) = 10(2b + 4)
(19.92 + -29.88b) = 10(2b + 4)

Reorder the terms:
19.92 + -29.88b = 10(4 + 2b)
19.92 + -29.88b = (4 * 10 + 2b * 10)
19.92 + -29.88b = (40 + 20b)

Solving
19.92 + -29.88b = 40 + 20b

Solving for variable 'b'.

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

Add '-20b' to each side of the equation.
19.92 + -29.88b + -20b = 40 + 20b + -20b

Combine like terms: -29.88b + -20b = -49.88b
19.92 + -49.88b = 40 + 20b + -20b

Combine like terms: 20b + -20b = 0
19.92 + -49.88b = 40 + 0
19.92 + -49.88b = 40

Add '-19.92' to each side of the equation.
19.92 + -19.92 + -49.88b = 40 + -19.92

Combine like terms: 19.92 + -19.92 = 0.00
0.00 + -49.88b = 40 + -19.92
-49.88b = 40 + -19.92

Combine like terms: 40 + -19.92 = 20.08
-49.88b = 20.08

Divide each side by '-49.88'.
b = -0.4025661588

Simplifying
b = -0.4025661588

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