-2(n-1)-5n=2(n-5)-6n

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Solution for -2(n-1)-5n=2(n-5)-6n equation: 


Simplifying
-2(n + -1) + -5n = 2(n + -5) + -6n

Reorder the terms:
-2(-1 + n) + -5n = 2(n + -5) + -6n
(-1 * -2 + n * -2) + -5n = 2(n + -5) + -6n
(2 + -2n) + -5n = 2(n + -5) + -6n

Combine like terms: -2n + -5n = -7n
2 + -7n = 2(n + -5) + -6n

Reorder the terms:
2 + -7n = 2(-5 + n) + -6n
2 + -7n = (-5 * 2 + n * 2) + -6n
2 + -7n = (-10 + 2n) + -6n

Combine like terms: 2n + -6n = -4n
2 + -7n = -10 + -4n

Solving
2 + -7n = -10 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
2 + -7n + 4n = -10 + -4n + 4n

Combine like terms: -7n + 4n = -3n
2 + -3n = -10 + -4n + 4n

Combine like terms: -4n + 4n = 0
2 + -3n = -10 + 0
2 + -3n = -10

Add '-2' to each side of the equation.
2 + -2 + -3n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -10 + -2
-3n = -10 + -2

Combine like terms: -10 + -2 = -12
-3n = -12

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

Simplifying
n = 4

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