3n-1=(n+4)2

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


Simplifying
3n + -1 = (n + 4) * 2

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

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

Reorder the terms for easier multiplication:
-1 + 3n = 2(4 + n)
-1 + 3n = (4 * 2 + n * 2)
-1 + 3n = (8 + 2n)

Solving
-1 + 3n = 8 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-1 + 3n + -2n = 8 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-1 + 1n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
-1 + 1n = 8 + 0
-1 + 1n = 8

Add '1' to each side of the equation.
-1 + 1 + 1n = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 1n = 8 + 1
1n = 8 + 1

Combine like terms: 8 + 1 = 9
1n = 9

Divide each side by '1'.
n = 9

Simplifying
n = 9

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