6n-17=3n+7

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Solution for 6n-17=3n+7 equation:


Simplifying
6n + -17 = 3n + 7

Reorder the terms:
-17 + 6n = 3n + 7

Reorder the terms:
-17 + 6n = 7 + 3n

Solving
-17 + 6n = 7 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-17 + 6n + -3n = 7 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-17 + 3n = 7 + 3n + -3n

Combine like terms: 3n + -3n = 0
-17 + 3n = 7 + 0
-17 + 3n = 7

Add '17' to each side of the equation.
-17 + 17 + 3n = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 3n = 7 + 17
3n = 7 + 17

Combine like terms: 7 + 17 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8

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