12(n-3)+3(n+13)=

Solution for 12(n-3)+3(n+13)= equation:

Simplifying
12(n + -3) + 3(n + 13) = 0

Reorder the terms:
12(-3 + n) + 3(n + 13) = 0
(-3 * 12 + n * 12) + 3(n + 13) = 0
(-36 + 12n) + 3(n + 13) = 0

Reorder the terms:
-36 + 12n + 3(13 + n) = 0
-36 + 12n + (13 * 3 + n * 3) = 0
-36 + 12n + (39 + 3n) = 0

Reorder the terms:
-36 + 39 + 12n + 3n = 0

Combine like terms: -36 + 39 = 3
3 + 12n + 3n = 0

Combine like terms: 12n + 3n = 15n
3 + 15n = 0

Solving
3 + 15n = 0

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 + 15n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 15n = 0 + -3
15n = 0 + -3

Combine like terms: 0 + -3 = -3
15n = -3

Divide each side by '15'.
n = -0.2

Simplifying
n = -0.2