5n+21=6(-4n-1)+2n

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Solution for 5n+21=6(-4n-1)+2n equation:


Simplifying
5n + 21 = 6(-4n + -1) + 2n

Reorder the terms:
21 + 5n = 6(-4n + -1) + 2n

Reorder the terms:
21 + 5n = 6(-1 + -4n) + 2n
21 + 5n = (-1 * 6 + -4n * 6) + 2n
21 + 5n = (-6 + -24n) + 2n

Combine like terms: -24n + 2n = -22n
21 + 5n = -6 + -22n

Solving
21 + 5n = -6 + -22n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '22n' to each side of the equation.
21 + 5n + 22n = -6 + -22n + 22n

Combine like terms: 5n + 22n = 27n
21 + 27n = -6 + -22n + 22n

Combine like terms: -22n + 22n = 0
21 + 27n = -6 + 0
21 + 27n = -6

Add '-21' to each side of the equation.
21 + -21 + 27n = -6 + -21

Combine like terms: 21 + -21 = 0
0 + 27n = -6 + -21
27n = -6 + -21

Combine like terms: -6 + -21 = -27
27n = -27

Divide each side by '27'.
n = -1

Simplifying
n = -1

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