6n-3=2n+12

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Solution for 6n-3=2n+12 equation:


Simplifying
6n + -3 = 2n + 12

Reorder the terms:
-3 + 6n = 2n + 12

Reorder the terms:
-3 + 6n = 12 + 2n

Solving
-3 + 6n = 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.
-3 + 6n + -2n = 12 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-3 + 4n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-3 + 4n = 12 + 0
-3 + 4n = 12

Add '3' to each side of the equation.
-3 + 3 + 4n = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 12 + 3
4n = 12 + 3

Combine like terms: 12 + 3 = 15
4n = 15

Divide each side by '4'.
n = 3.75

Simplifying
n = 3.75

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