3n+5(1-4n)=-6n-39

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Solution for 3n+5(1-4n)=-6n-39 equation: 


Simplifying
3n + 5(1 + -4n) = -6n + -39
3n + (1 * 5 + -4n * 5) = -6n + -39
3n + (5 + -20n) = -6n + -39

Reorder the terms:
5 + 3n + -20n = -6n + -39

Combine like terms: 3n + -20n = -17n
5 + -17n = -6n + -39

Reorder the terms:
5 + -17n = -39 + -6n

Solving
5 + -17n = -39 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
5 + -17n + 6n = -39 + -6n + 6n

Combine like terms: -17n + 6n = -11n
5 + -11n = -39 + -6n + 6n

Combine like terms: -6n + 6n = 0
5 + -11n = -39 + 0
5 + -11n = -39

Add '-5' to each side of the equation.
5 + -5 + -11n = -39 + -5

Combine like terms: 5 + -5 = 0
0 + -11n = -39 + -5
-11n = -39 + -5

Combine like terms: -39 + -5 = -44
-11n = -44

Divide each side by '-11'.
n = 4

Simplifying
n = 4

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