17n-3(n+1)=109

Solution for 17n-3(n+1)=109 equation:

Simplifying
17n + -3(n + 1) = 109

Reorder the terms:
17n + -3(1 + n) = 109
17n + (1 * -3 + n * -3) = 109
17n + (-3 + -3n) = 109

Reorder the terms:
-3 + 17n + -3n = 109

Combine like terms: 17n + -3n = 14n
-3 + 14n = 109

Solving
-3 + 14n = 109

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 14n = 109 + 3

Combine like terms: -3 + 3 = 0
0 + 14n = 109 + 3
14n = 109 + 3

Combine like terms: 109 + 3 = 112
14n = 112

Divide each side by '14'.
n = 8

Simplifying
n = 8