2+3(3n-1)=n+15

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Solution for 2+3(3n-1)=n+15 equation:


Simplifying
2 + 3(3n + -1) = n + 15

Reorder the terms:
2 + 3(-1 + 3n) = n + 15
2 + (-1 * 3 + 3n * 3) = n + 15
2 + (-3 + 9n) = n + 15

Combine like terms: 2 + -3 = -1
-1 + 9n = n + 15

Reorder the terms:
-1 + 9n = 15 + n

Solving
-1 + 9n = 15 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-1 + 9n + -1n = 15 + n + -1n

Combine like terms: 9n + -1n = 8n
-1 + 8n = 15 + n + -1n

Combine like terms: n + -1n = 0
-1 + 8n = 15 + 0
-1 + 8n = 15

Add '1' to each side of the equation.
-1 + 1 + 8n = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 8n = 15 + 1
8n = 15 + 1

Combine like terms: 15 + 1 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2

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