5n-2(11-3n)=7(2n-3)-3n-1

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Solution for 5n-2(11-3n)=7(2n-3)-3n-1 equation: 


Simplifying
5n + -2(11 + -3n) = 7(2n + -3) + -3n + -1
5n + (11 * -2 + -3n * -2) = 7(2n + -3) + -3n + -1
5n + (-22 + 6n) = 7(2n + -3) + -3n + -1

Reorder the terms:
-22 + 5n + 6n = 7(2n + -3) + -3n + -1

Combine like terms: 5n + 6n = 11n
-22 + 11n = 7(2n + -3) + -3n + -1

Reorder the terms:
-22 + 11n = 7(-3 + 2n) + -3n + -1
-22 + 11n = (-3 * 7 + 2n * 7) + -3n + -1
-22 + 11n = (-21 + 14n) + -3n + -1

Reorder the terms:
-22 + 11n = -21 + -1 + 14n + -3n

Combine like terms: -21 + -1 = -22
-22 + 11n = -22 + 14n + -3n

Combine like terms: 14n + -3n = 11n
-22 + 11n = -22 + 11n

Add '22' to each side of the equation.
-22 + 22 + 11n = -22 + 22 + 11n

Combine like terms: -22 + 22 = 0
0 + 11n = -22 + 22 + 11n
11n = -22 + 22 + 11n

Combine like terms: -22 + 22 = 0
11n = 0 + 11n
11n = 11n

Add '-11n' to each side of the equation.
11n + -11n = 11n + -11n

Combine like terms: 11n + -11n = 0
0 = 11n + -11n

Combine like terms: 11n + -11n = 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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