12n-13=7n+2

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Solution for 12n-13=7n+2 equation:


Simplifying
12n + -13 = 7n + 2

Reorder the terms:
-13 + 12n = 7n + 2

Reorder the terms:
-13 + 12n = 2 + 7n

Solving
-13 + 12n = 2 + 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.
-13 + 12n + -7n = 2 + 7n + -7n

Combine like terms: 12n + -7n = 5n
-13 + 5n = 2 + 7n + -7n

Combine like terms: 7n + -7n = 0
-13 + 5n = 2 + 0
-13 + 5n = 2

Add '13' to each side of the equation.
-13 + 13 + 5n = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 5n = 2 + 13
5n = 2 + 13

Combine like terms: 2 + 13 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3

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