1-0.5(b-17)=0.1(8b-17)

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Solution for 1-0.5(b-17)=0.1(8b-17) equation: 


Simplifying
1 + -0.5(b + -17) = 0.1(8b + -17)

Reorder the terms:
1 + -0.5(-17 + b) = 0.1(8b + -17)
1 + (-17 * -0.5 + b * -0.5) = 0.1(8b + -17)
1 + (8.5 + -0.5b) = 0.1(8b + -17)

Combine like terms: 1 + 8.5 = 9.5
9.5 + -0.5b = 0.1(8b + -17)

Reorder the terms:
9.5 + -0.5b = 0.1(-17 + 8b)
9.5 + -0.5b = (-17 * 0.1 + 8b * 0.1)
9.5 + -0.5b = (-1.7 + 0.8b)

Solving
9.5 + -0.5b = -1.7 + 0.8b

Solving for variable 'b'.

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

Add '-0.8b' to each side of the equation.
9.5 + -0.5b + -0.8b = -1.7 + 0.8b + -0.8b

Combine like terms: -0.5b + -0.8b = -1.3b
9.5 + -1.3b = -1.7 + 0.8b + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0
9.5 + -1.3b = -1.7 + 0.0
9.5 + -1.3b = -1.7

Add '-9.5' to each side of the equation.
9.5 + -9.5 + -1.3b = -1.7 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + -1.3b = -1.7 + -9.5
-1.3b = -1.7 + -9.5

Combine like terms: -1.7 + -9.5 = -11.2
-1.3b = -11.2

Divide each side by '-1.3'.
b = 8.615384615

Simplifying
b = 8.615384615

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