3n-2=8n+13

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Solution for 3n-2=8n+13 equation:


Simplifying
3n + -2 = 8n + 13

Reorder the terms:
-2 + 3n = 8n + 13

Reorder the terms:
-2 + 3n = 13 + 8n

Solving
-2 + 3n = 13 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-2 + 3n + -8n = 13 + 8n + -8n

Combine like terms: 3n + -8n = -5n
-2 + -5n = 13 + 8n + -8n

Combine like terms: 8n + -8n = 0
-2 + -5n = 13 + 0
-2 + -5n = 13

Add '2' to each side of the equation.
-2 + 2 + -5n = 13 + 2

Combine like terms: -2 + 2 = 0
0 + -5n = 13 + 2
-5n = 13 + 2

Combine like terms: 13 + 2 = 15
-5n = 15

Divide each side by '-5'.
n = -3

Simplifying
n = -3

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