7085=60(115.125-7.5b)+708b

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Solution for 7085=60(115.125-7.5b)+708b equation:


Simplifying
7085 = 60(115.125 + -7.5b) + 708b
7085 = (115.125 * 60 + -7.5b * 60) + 708b
7085 = (6907.5 + -450b) + 708b

Combine like terms: -450b + 708b = 258b
7085 = 6907.5 + 258b

Solving
7085 = 6907.5 + 258b

Solving for variable 'b'.

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

Add '-258b' to each side of the equation.
7085 + -258b = 6907.5 + 258b + -258b

Combine like terms: 258b + -258b = 0
7085 + -258b = 6907.5 + 0
7085 + -258b = 6907.5

Add '-7085' to each side of the equation.
7085 + -7085 + -258b = 6907.5 + -7085

Combine like terms: 7085 + -7085 = 0
0 + -258b = 6907.5 + -7085
-258b = 6907.5 + -7085

Combine like terms: 6907.5 + -7085 = -177.5
-258b = -177.5

Divide each side by '-258'.
b = 0.6879844961

Simplifying
b = 0.6879844961

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