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

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


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

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

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

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

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

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

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

Reorder the terms for easier multiplication:
-338 + 49a = 9 * 82[-50 + 63a]

Multiply 9 * 82
-338 + 49a = 738[-50 + 63a]
-338 + 49a = [-50 * 738 + 63a * 738]
-338 + 49a = [-36900 + 46494a]

Solving
-338 + 49a = -36900 + 46494a

Solving for variable 'a'.

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

Add '-46494a' to each side of the equation.
-338 + 49a + -46494a = -36900 + 46494a + -46494a

Combine like terms: 49a + -46494a = -46445a
-338 + -46445a = -36900 + 46494a + -46494a

Combine like terms: 46494a + -46494a = 0
-338 + -46445a = -36900 + 0
-338 + -46445a = -36900

Add '338' to each side of the equation.
-338 + 338 + -46445a = -36900 + 338

Combine like terms: -338 + 338 = 0
0 + -46445a = -36900 + 338
-46445a = -36900 + 338

Combine like terms: -36900 + 338 = -36562
-46445a = -36562

Divide each side by '-46445'.
a = 0.7872106793

Simplifying
a = 0.7872106793

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