4n-5(1+3n)=27-7n

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Solution for 4n-5(1+3n)=27-7n equation: 


Simplifying
4n + -5(1 + 3n) = 27 + -7n
4n + (1 * -5 + 3n * -5) = 27 + -7n
4n + (-5 + -15n) = 27 + -7n

Reorder the terms:
-5 + 4n + -15n = 27 + -7n

Combine like terms: 4n + -15n = -11n
-5 + -11n = 27 + -7n

Solving
-5 + -11n = 27 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
-5 + -11n + 7n = 27 + -7n + 7n

Combine like terms: -11n + 7n = -4n
-5 + -4n = 27 + -7n + 7n

Combine like terms: -7n + 7n = 0
-5 + -4n = 27 + 0
-5 + -4n = 27

Add '5' to each side of the equation.
-5 + 5 + -4n = 27 + 5

Combine like terms: -5 + 5 = 0
0 + -4n = 27 + 5
-4n = 27 + 5

Combine like terms: 27 + 5 = 32
-4n = 32

Divide each side by '-4'.
n = -8

Simplifying
n = -8

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