37=12n-(12-n)

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Solution for 37=12n-(12-n) equation:


Simplifying
37 = 12n + -1(12 + -1n)
37 = 12n + (12 * -1 + -1n * -1)
37 = 12n + (-12 + 1n)

Reorder the terms:
37 = -12 + 12n + 1n

Combine like terms: 12n + 1n = 13n
37 = -12 + 13n

Solving
37 = -12 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
37 + -13n = -12 + 13n + -13n

Combine like terms: 13n + -13n = 0
37 + -13n = -12 + 0
37 + -13n = -12

Add '-37' to each side of the equation.
37 + -37 + -13n = -12 + -37

Combine like terms: 37 + -37 = 0
0 + -13n = -12 + -37
-13n = -12 + -37

Combine like terms: -12 + -37 = -49
-13n = -49

Divide each side by '-13'.
n = 3.769230769

Simplifying
n = 3.769230769

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