(12n-2)=5n-7

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Solution for (12n-2)=5n-7 equation:


Simplifying
(12n + -2) = 5n + -7

Reorder the terms:
(-2 + 12n) = 5n + -7

Remove parenthesis around (-2 + 12n)
-2 + 12n = 5n + -7

Reorder the terms:
-2 + 12n = -7 + 5n

Solving
-2 + 12n = -7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-2 + 12n + -5n = -7 + 5n + -5n

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

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

Add '2' to each side of the equation.
-2 + 2 + 7n = -7 + 2

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

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

Divide each side by '7'.
n = -0.7142857143

Simplifying
n = -0.7142857143

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