-7(n-5)=27-3n

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Solution for -7(n-5)=27-3n equation: 


Simplifying
-7(n + -5) = 27 + -3n

Reorder the terms:
-7(-5 + n) = 27 + -3n
(-5 * -7 + n * -7) = 27 + -3n
(35 + -7n) = 27 + -3n

Solving
35 + -7n = 27 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
35 + -7n + 3n = 27 + -3n + 3n

Combine like terms: -7n + 3n = -4n
35 + -4n = 27 + -3n + 3n

Combine like terms: -3n + 3n = 0
35 + -4n = 27 + 0
35 + -4n = 27

Add '-35' to each side of the equation.
35 + -35 + -4n = 27 + -35

Combine like terms: 35 + -35 = 0
0 + -4n = 27 + -35
-4n = 27 + -35

Combine like terms: 27 + -35 = -8
-4n = -8

Divide each side by '-4'.
n = 2

Simplifying
n = 2

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