7[9-7(8-a)]-9=9[7(9a-8)]-82

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Solution for 7[9-7(8-a)]-9=9[7(9a-8)]-82 equation: 


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

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

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

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

Reorder the terms:
-338 + 49a = 9[7(-8 + 9a)] + -82
-338 + 49a = 9[(-8 * 7 + 9a * 7)] + -82
-338 + 49a = 9[(-56 + 63a)] + -82
-338 + 49a = [-56 * 9 + 63a * 9] + -82
-338 + 49a = [-504 + 567a] + -82

Reorder the terms:
-338 + 49a = -504 + -82 + 567a

Combine like terms: -504 + -82 = -586
-338 + 49a = -586 + 567a

Solving
-338 + 49a = -586 + 567a

Solving for variable 'a'.

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

Add '-567a' to each side of the equation.
-338 + 49a + -567a = -586 + 567a + -567a

Combine like terms: 49a + -567a = -518a
-338 + -518a = -586 + 567a + -567a

Combine like terms: 567a + -567a = 0
-338 + -518a = -586 + 0
-338 + -518a = -586

Add '338' to each side of the equation.
-338 + 338 + -518a = -586 + 338

Combine like terms: -338 + 338 = 0
0 + -518a = -586 + 338
-518a = -586 + 338

Combine like terms: -586 + 338 = -248
-518a = -248

Divide each side by '-518'.
a = 0.4787644788

Simplifying
a = 0.4787644788

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