45+(-9)=13n+(-7n)

Solution for 45+(-9)=13n+(-7n) equation:

Simplifying
45 + (-9) = 13n + (-7n)
45 + -9 = 13n + (-7n)

Combine like terms: 45 + -9 = 36
36 = 13n + (-7n)

Combine like terms: 13n + (-7n) = 6n
36 = 6n

Solving
36 = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
36 + -6n = 6n + -6n

Combine like terms: 6n + -6n = 0
36 + -6n = 0

Add '-36' to each side of the equation.
36 + -36 + -6n = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -6n = 0 + -36
-6n = 0 + -36

Combine like terms: 0 + -36 = -36
-6n = -36

Divide each side by '-6'.
n = 6

Simplifying
n = 6