7(1-7n)-8n=292

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Solution for 7(1-7n)-8n=292 equation: 


Simplifying
7(1 + -7n) + -8n = 292
(1 * 7 + -7n * 7) + -8n = 292
(7 + -49n) + -8n = 292

Combine like terms: -49n + -8n = -57n
7 + -57n = 292

Solving
7 + -57n = 292

Solving for variable 'n'.

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

Add '-7' to each side of the equation.
7 + -7 + -57n = 292 + -7

Combine like terms: 7 + -7 = 0
0 + -57n = 292 + -7
-57n = 292 + -7

Combine like terms: 292 + -7 = 285
-57n = 285

Divide each side by '-57'.
n = -5

Simplifying
n = -5

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