3(n+5)-9(1-2n)=69

Solution for 3(n+5)-9(1-2n)=69 equation:

Simplifying
3(n + 5) + -9(1 + -2n) = 69

Reorder the terms:
3(5 + n) + -9(1 + -2n) = 69
(5 * 3 + n * 3) + -9(1 + -2n) = 69
(15 + 3n) + -9(1 + -2n) = 69
15 + 3n + (1 * -9 + -2n * -9) = 69
15 + 3n + (-9 + 18n) = 69

Reorder the terms:
15 + -9 + 3n + 18n = 69

Combine like terms: 15 + -9 = 6
6 + 3n + 18n = 69

Combine like terms: 3n + 18n = 21n
6 + 21n = 69

Solving
6 + 21n = 69

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 21n = 69 + -6

Combine like terms: 6 + -6 = 0
0 + 21n = 69 + -6
21n = 69 + -6

Combine like terms: 69 + -6 = 63
21n = 63

Divide each side by '21'.
n = 3

Simplifying
n = 3