12(4+n)+5(-2n-9)=1

Solution for 12(4+n)+5(-2n-9)=1 equation:

Simplifying
12(4 + n) + 5(-2n + -9) = 1
(4 * 12 + n * 12) + 5(-2n + -9) = 1
(48 + 12n) + 5(-2n + -9) = 1

Reorder the terms:
48 + 12n + 5(-9 + -2n) = 1
48 + 12n + (-9 * 5 + -2n * 5) = 1
48 + 12n + (-45 + -10n) = 1

Reorder the terms:
48 + -45 + 12n + -10n = 1

Combine like terms: 48 + -45 = 3
3 + 12n + -10n = 1

Combine like terms: 12n + -10n = 2n
3 + 2n = 1

Solving
3 + 2n = 1

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 + 2n = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 1 + -3
2n = 1 + -3

Combine like terms: 1 + -3 = -2
2n = -2

Divide each side by '2'.
n = -1

Simplifying
n = -1