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

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


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

Remove parenthesis around (8c)
7[9 + -7 * 8c] + -9 = 9[7(9c + -8) + 6] + -82

Multiply -7 * 8
7[9 + -56c] + -9 = 9[7(9c + -8) + 6] + -82
[9 * 7 + -56c * 7] + -9 = 9[7(9c + -8) + 6] + -82
[63 + -392c] + -9 = 9[7(9c + -8) + 6] + -82

Reorder the terms:
63 + -9 + -392c = 9[7(9c + -8) + 6] + -82

Combine like terms: 63 + -9 = 54
54 + -392c = 9[7(9c + -8) + 6] + -82

Reorder the terms:
54 + -392c = 9[7(-8 + 9c) + 6] + -82
54 + -392c = 9[(-8 * 7 + 9c * 7) + 6] + -82
54 + -392c = 9[(-56 + 63c) + 6] + -82

Reorder the terms:
54 + -392c = 9[-56 + 6 + 63c] + -82

Combine like terms: -56 + 6 = -50
54 + -392c = 9[-50 + 63c] + -82
54 + -392c = [-50 * 9 + 63c * 9] + -82
54 + -392c = [-450 + 567c] + -82

Reorder the terms:
54 + -392c = -450 + -82 + 567c

Combine like terms: -450 + -82 = -532
54 + -392c = -532 + 567c

Solving
54 + -392c = -532 + 567c

Solving for variable 'c'.

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

Add '-567c' to each side of the equation.
54 + -392c + -567c = -532 + 567c + -567c

Combine like terms: -392c + -567c = -959c
54 + -959c = -532 + 567c + -567c

Combine like terms: 567c + -567c = 0
54 + -959c = -532 + 0
54 + -959c = -532

Add '-54' to each side of the equation.
54 + -54 + -959c = -532 + -54

Combine like terms: 54 + -54 = 0
0 + -959c = -532 + -54
-959c = -532 + -54

Combine like terms: -532 + -54 = -586
-959c = -586

Divide each side by '-959'.
c = 0.6110531804

Simplifying
c = 0.6110531804

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