3n-6=7n+6

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


Simplifying
3n + -6 = 7n + 6

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

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

Solving
-6 + 3n = 6 + 7n

Solving for variable 'n'.

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

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

Combine like terms: 3n + -7n = -4n
-6 + -4n = 6 + 7n + -7n

Combine like terms: 7n + -7n = 0
-6 + -4n = 6 + 0
-6 + -4n = 6

Add '6' to each side of the equation.
-6 + 6 + -4n = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -4n = 6 + 6
-4n = 6 + 6

Combine like terms: 6 + 6 = 12
-4n = 12

Divide each side by '-4'.
n = -3

Simplifying
n = -3

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