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

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


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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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