(0.59*(294-b))=(1.17*b)

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Solution for (0.59*(294-b))=(1.17*b) equation: 


Simplifying
(0.59(294 + -1b)) = (1.17b)
((294 * 0.59 + -1b * 0.59)) = (1.17b)
((173.46 + -0.59b)) = (1.17b)
(173.46 + -0.59b) = (1.17b)

Remove parenthesis around (173.46 + -0.59b)
173.46 + -0.59b = (1.17b)

Solving
173.46 + -0.59b = (1.17b)

Solving for variable 'b'.

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

Add '(-1.17b)' to each side of the equation.
173.46 + -0.59b + (-1.17b) = (1.17b) + (-1.17b)

Combine like terms: -0.59b + (-1.17b) = -1.76b
173.46 + -1.76b = (1.17b) + (-1.17b)

Combine like terms: (1.17b) + (-1.17b) = 0.00
173.46 + -1.76b = 0.00

Add '-173.46' to each side of the equation.
173.46 + -173.46 + -1.76b = 0.00 + -173.46

Combine like terms: 173.46 + -173.46 = 0.00
0.00 + -1.76b = 0.00 + -173.46
-1.76b = 0.00 + -173.46

Combine like terms: 0.00 + -173.46 = -173.46
-1.76b = -173.46

Divide each side by '-1.76'.
b = 98.55681818

Simplifying
b = 98.55681818

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