7n-21=4n+6

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Solution for 7n-21=4n+6 equation:


Simplifying
7n + -21 = 4n + 6

Reorder the terms:
-21 + 7n = 4n + 6

Reorder the terms:
-21 + 7n = 6 + 4n

Solving
-21 + 7n = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-21 + 7n + -4n = 6 + 4n + -4n

Combine like terms: 7n + -4n = 3n
-21 + 3n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
-21 + 3n = 6 + 0
-21 + 3n = 6

Add '21' to each side of the equation.
-21 + 21 + 3n = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 3n = 6 + 21
3n = 6 + 21

Combine like terms: 6 + 21 = 27
3n = 27

Divide each side by '3'.
n = 9

Simplifying
n = 9

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