(3n-1)2+5=21

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Solution for (3n-1)2+5=21 equation:


Simplifying
(3n + -1) * 2 + 5 = 21

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

Reorder the terms for easier multiplication:
2(-1 + 3n) + 5 = 21
(-1 * 2 + 3n * 2) + 5 = 21
(-2 + 6n) + 5 = 21

Reorder the terms:
-2 + 5 + 6n = 21

Combine like terms: -2 + 5 = 3
3 + 6n = 21

Solving
3 + 6n = 21

Solving for variable 'n'.

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

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

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

Combine like terms: 21 + -3 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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