5n+1=7(n+1)-2n

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Solution for 5n+1=7(n+1)-2n equation: 


Simplifying
5n + 1 = 7(n + 1) + -2n

Reorder the terms:
1 + 5n = 7(n + 1) + -2n

Reorder the terms:
1 + 5n = 7(1 + n) + -2n
1 + 5n = (1 * 7 + n * 7) + -2n
1 + 5n = (7 + 7n) + -2n

Combine like terms: 7n + -2n = 5n
1 + 5n = 7 + 5n

Add '-5n' to each side of the equation.
1 + 5n + -5n = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 + 0 = 7 + 5n + -5n
1 = 7 + 5n + -5n

Combine like terms: 5n + -5n = 0
1 = 7 + 0
1 = 7

Solving
1 = 7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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