24.5=-8.5(6b-5.5)

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Solution for 24.5=-8.5(6b-5.5) equation: 


Simplifying
24.5 = -8.5(6b + -5.5)

Reorder the terms:
24.5 = -8.5(-5.5 + 6b)
24.5 = (-5.5 * -8.5 + 6b * -8.5)
24.5 = (46.75 + -51b)

Solving
24.5 = 46.75 + -51b

Solving for variable 'b'.

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

Add '51b' to each side of the equation.
24.5 + 51b = 46.75 + -51b + 51b

Combine like terms: -51b + 51b = 0
24.5 + 51b = 46.75 + 0
24.5 + 51b = 46.75

Add '-24.5' to each side of the equation.
24.5 + -24.5 + 51b = 46.75 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + 51b = 46.75 + -24.5
51b = 46.75 + -24.5

Combine like terms: 46.75 + -24.5 = 22.25
51b = 22.25

Divide each side by '51'.
b = 0.4362745098

Simplifying
b = 0.4362745098

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