6n-(2n-7)=n-14

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Solution for 6n-(2n-7)=n-14 equation:


Simplifying
6n + -1(2n + -7) = n + -14

Reorder the terms:
6n + -1(-7 + 2n) = n + -14
6n + (-7 * -1 + 2n * -1) = n + -14
6n + (7 + -2n) = n + -14

Reorder the terms:
7 + 6n + -2n = n + -14

Combine like terms: 6n + -2n = 4n
7 + 4n = n + -14

Reorder the terms:
7 + 4n = -14 + n

Solving
7 + 4n = -14 + 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.
7 + 4n + -1n = -14 + n + -1n

Combine like terms: 4n + -1n = 3n
7 + 3n = -14 + n + -1n

Combine like terms: n + -1n = 0
7 + 3n = -14 + 0
7 + 3n = -14

Add '-7' to each side of the equation.
7 + -7 + 3n = -14 + -7

Combine like terms: 7 + -7 = 0
0 + 3n = -14 + -7
3n = -14 + -7

Combine like terms: -14 + -7 = -21
3n = -21

Divide each side by '3'.
n = -7

Simplifying
n = -7

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