7-(3n-5)=n

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Solution for 7-(3n-5)=n equation:


Simplifying
7 + -1(3n + -5) = n

Reorder the terms:
7 + -1(-5 + 3n) = n
7 + (-5 * -1 + 3n * -1) = n
7 + (5 + -3n) = n

Combine like terms: 7 + 5 = 12
12 + -3n = n

Solving
12 + -3n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12 + -3n + -1n = n + -1n

Combine like terms: -3n + -1n = -4n
12 + -4n = n + -1n

Combine like terms: n + -1n = 0
12 + -4n = 0

Add '-12' to each side of the equation.
12 + -12 + -4n = 0 + -12

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

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

Divide each side by '-4'.
n = 3

Simplifying
n = 3

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