109=-6(1-4n)-n

Solution for 109=-6(1-4n)-n equation:

Simplifying
109 = -6(1 + -4n) + -1n
109 = (1 * -6 + -4n * -6) + -1n
109 = (-6 + 24n) + -1n

Combine like terms: 24n + -1n = 23n
109 = -6 + 23n

Solving
109 = -6 + 23n

Solving for variable 'n'.

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

Add '-23n' to each side of the equation.
109 + -23n = -6 + 23n + -23n

Combine like terms: 23n + -23n = 0
109 + -23n = -6 + 0
109 + -23n = -6

Add '-109' to each side of the equation.
109 + -109 + -23n = -6 + -109

Combine like terms: 109 + -109 = 0
0 + -23n = -6 + -109
-23n = -6 + -109

Combine like terms: -6 + -109 = -115
-23n = -115

Divide each side by '-23'.
n = 5

Simplifying
n = 5