7[9-7(8-b)]-9=9[7(9b-8)+6]-82

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Solution for 7[9-7(8-b)]-9=9[7(9b-8)+6]-82 equation: 


Simplifying
7[9 + -7(8 + -1b)] + -9 = 9[7(9b + -8) + 6] + -82
7[9 + (8 * -7 + -1b * -7)] + -9 = 9[7(9b + -8) + 6] + -82
7[9 + (-56 + 7b)] + -9 = 9[7(9b + -8) + 6] + -82

Combine like terms: 9 + -56 = -47
7[-47 + 7b] + -9 = 9[7(9b + -8) + 6] + -82
[-47 * 7 + 7b * 7] + -9 = 9[7(9b + -8) + 6] + -82
[-329 + 49b] + -9 = 9[7(9b + -8) + 6] + -82

Reorder the terms:
-329 + -9 + 49b = 9[7(9b + -8) + 6] + -82

Combine like terms: -329 + -9 = -338
-338 + 49b = 9[7(9b + -8) + 6] + -82

Reorder the terms:
-338 + 49b = 9[7(-8 + 9b) + 6] + -82
-338 + 49b = 9[(-8 * 7 + 9b * 7) + 6] + -82
-338 + 49b = 9[(-56 + 63b) + 6] + -82

Reorder the terms:
-338 + 49b = 9[-56 + 6 + 63b] + -82

Combine like terms: -56 + 6 = -50
-338 + 49b = 9[-50 + 63b] + -82
-338 + 49b = [-50 * 9 + 63b * 9] + -82
-338 + 49b = [-450 + 567b] + -82

Reorder the terms:
-338 + 49b = -450 + -82 + 567b

Combine like terms: -450 + -82 = -532
-338 + 49b = -532 + 567b

Solving
-338 + 49b = -532 + 567b

Solving for variable 'b'.

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

Add '-567b' to each side of the equation.
-338 + 49b + -567b = -532 + 567b + -567b

Combine like terms: 49b + -567b = -518b
-338 + -518b = -532 + 567b + -567b

Combine like terms: 567b + -567b = 0
-338 + -518b = -532 + 0
-338 + -518b = -532

Add '338' to each side of the equation.
-338 + 338 + -518b = -532 + 338

Combine like terms: -338 + 338 = 0
0 + -518b = -532 + 338
-518b = -532 + 338

Combine like terms: -532 + 338 = -194
-518b = -194

Divide each side by '-518'.
b = 0.3745173745

Simplifying
b = 0.3745173745

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