12n+2-3n=5-(n-2)

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Solution for 12n+2-3n=5-(n-2) equation: 


Simplifying
12n + 2 + -3n = 5 + -1(n + -2)

Reorder the terms:
2 + 12n + -3n = 5 + -1(n + -2)

Combine like terms: 12n + -3n = 9n
2 + 9n = 5 + -1(n + -2)

Reorder the terms:
2 + 9n = 5 + -1(-2 + n)
2 + 9n = 5 + (-2 * -1 + n * -1)
2 + 9n = 5 + (2 + -1n)

Combine like terms: 5 + 2 = 7
2 + 9n = 7 + -1n

Solving
2 + 9n = 7 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
2 + 9n + n = 7 + -1n + n

Combine like terms: 9n + n = 10n
2 + 10n = 7 + -1n + n

Combine like terms: -1n + n = 0
2 + 10n = 7 + 0
2 + 10n = 7

Add '-2' to each side of the equation.
2 + -2 + 10n = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 10n = 7 + -2
10n = 7 + -2

Combine like terms: 7 + -2 = 5
10n = 5

Divide each side by '10'.
n = 0.5

Simplifying
n = 0.5

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