17.5=-9+9.5(b+6.5)

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Solution for 17.5=-9+9.5(b+6.5) equation: 


Simplifying
17.5 = -9 + 9.5(b + 6.5)

Reorder the terms:
17.5 = -9 + 9.5(6.5 + b)
17.5 = -9 + (6.5 * 9.5 + b * 9.5)
17.5 = -9 + (61.75 + 9.5b)

Combine like terms: -9 + 61.75 = 52.75
17.5 = 52.75 + 9.5b

Solving
17.5 = 52.75 + 9.5b

Solving for variable 'b'.

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

Add '-9.5b' to each side of the equation.
17.5 + -9.5b = 52.75 + 9.5b + -9.5b

Combine like terms: 9.5b + -9.5b = 0.0
17.5 + -9.5b = 52.75 + 0.0
17.5 + -9.5b = 52.75

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -9.5b = 52.75 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -9.5b = 52.75 + -17.5
-9.5b = 52.75 + -17.5

Combine like terms: 52.75 + -17.5 = 35.25
-9.5b = 35.25

Divide each side by '-9.5'.
b = -3.710526316

Simplifying
b = -3.710526316

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