5(n-4)-1=-7(-n+3)-2n

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Solution for 5(n-4)-1=-7(-n+3)-2n equation:


Simplifying
5(n + -4) + -1 = -7(-1n + 3) + -2n

Reorder the terms:
5(-4 + n) + -1 = -7(-1n + 3) + -2n
(-4 * 5 + n * 5) + -1 = -7(-1n + 3) + -2n
(-20 + 5n) + -1 = -7(-1n + 3) + -2n

Reorder the terms:
-20 + -1 + 5n = -7(-1n + 3) + -2n

Combine like terms: -20 + -1 = -21
-21 + 5n = -7(-1n + 3) + -2n

Reorder the terms:
-21 + 5n = -7(3 + -1n) + -2n
-21 + 5n = (3 * -7 + -1n * -7) + -2n
-21 + 5n = (-21 + 7n) + -2n

Combine like terms: 7n + -2n = 5n
-21 + 5n = -21 + 5n

Add '21' to each side of the equation.
-21 + 21 + 5n = -21 + 21 + 5n

Combine like terms: -21 + 21 = 0
0 + 5n = -21 + 21 + 5n
5n = -21 + 21 + 5n

Combine like terms: -21 + 21 = 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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