(N-7)(3n+1)=1

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Solution for (N-7)(3n+1)=1 equation:


Simplifying
(N + -7)(3n + 1) = 1

Reorder the terms:
(-7 + N)(3n + 1) = 1

Reorder the terms:
(-7 + N)(1 + 3n) = 1

Multiply (-7 + N) * (1 + 3n)
(-7(1 + 3n) + N(1 + 3n)) = 1
((1 * -7 + 3n * -7) + N(1 + 3n)) = 1
((-7 + -21n) + N(1 + 3n)) = 1
(-7 + -21n + (1 * N + 3n * N)) = 1
(-7 + -21n + (1N + 3nN)) = 1

Reorder the terms:
(-7 + 1N + -21n + 3nN) = 1
(-7 + 1N + -21n + 3nN) = 1

Solving
-7 + 1N + -21n + 3nN = 1

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 + 1N + -21n + 7 + 3nN = 1 + 7

Reorder the terms:
-7 + 7 + 1N + -21n + 3nN = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 1N + -21n + 3nN = 1 + 7
1N + -21n + 3nN = 1 + 7

Combine like terms: 1 + 7 = 8
1N + -21n + 3nN = 8

Add '21n' to each side of the equation.
1N + -21n + 21n + 3nN = 8 + 21n

Combine like terms: -21n + 21n = 0
1N + 0 + 3nN = 8 + 21n
1N + 3nN = 8 + 21n

Reorder the terms:
-8 + 1N + -21n + 3nN = 8 + 21n + -8 + -21n

Reorder the terms:
-8 + 1N + -21n + 3nN = 8 + -8 + 21n + -21n

Combine like terms: 8 + -8 = 0
-8 + 1N + -21n + 3nN = 0 + 21n + -21n
-8 + 1N + -21n + 3nN = 21n + -21n

Combine like terms: 21n + -21n = 0
-8 + 1N + -21n + 3nN = 0

The solution to this equation could not be determined.

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