-3*n+5(1+6*n)=-77

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Solution for -3*n+5(1+6*n)=-77 equation:


Simplifying
-3n + 5(1 + 6n) = -77
-3n + (1 * 5 + 6n * 5) = -77
-3n + (5 + 30n) = -77

Reorder the terms:
5 + -3n + 30n = -77

Combine like terms: -3n + 30n = 27n
5 + 27n = -77

Solving
5 + 27n = -77

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + 27n = -77 + -5

Combine like terms: 5 + -5 = 0
0 + 27n = -77 + -5
27n = -77 + -5

Combine like terms: -77 + -5 = -82
27n = -82

Divide each side by '27'.
n = -3.037037037

Simplifying
n = -3.037037037

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