4n+6=2n+12

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Solution for 4n+6=2n+12 equation:


Simplifying
4n + 6 = 2n + 12

Reorder the terms:
6 + 4n = 2n + 12

Reorder the terms:
6 + 4n = 12 + 2n

Solving
6 + 4n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 4n + -2n = 12 + 2n + -2n

Combine like terms: 4n + -2n = 2n
6 + 2n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 2n = 12 + 0
6 + 2n = 12

Add '-6' to each side of the equation.
6 + -6 + 2n = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 12 + -6
2n = 12 + -6

Combine like terms: 12 + -6 = 6
2n = 6

Divide each side by '2'.
n = 3

Simplifying
n = 3

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