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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