2.4=3.5(b-5)

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Solution for 2.4=3.5(b-5) equation: 


Simplifying
2.4 = 3.5(b + -5)

Reorder the terms:
2.4 = 3.5(-5 + b)
2.4 = (-5 * 3.5 + b * 3.5)
2.4 = (-17.5 + 3.5b)

Solving
2.4 = -17.5 + 3.5b

Solving for variable 'b'.

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

Add '-3.5b' to each side of the equation.
2.4 + -3.5b = -17.5 + 3.5b + -3.5b

Combine like terms: 3.5b + -3.5b = 0.0
2.4 + -3.5b = -17.5 + 0.0
2.4 + -3.5b = -17.5

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -3.5b = -17.5 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -3.5b = -17.5 + -2.4
-3.5b = -17.5 + -2.4

Combine like terms: -17.5 + -2.4 = -19.9
-3.5b = -19.9

Divide each side by '-3.5'.
b = 5.685714286

Simplifying
b = 5.685714286

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