-3(2n+4)+9(n+3)=45

Solution for -3(2n+4)+9(n+3)=45 equation:

Simplifying
-3(2n + 4) + 9(n + 3) = 45

Reorder the terms:
-3(4 + 2n) + 9(n + 3) = 45
(4 * -3 + 2n * -3) + 9(n + 3) = 45
(-12 + -6n) + 9(n + 3) = 45

Reorder the terms:
-12 + -6n + 9(3 + n) = 45
-12 + -6n + (3 * 9 + n * 9) = 45
-12 + -6n + (27 + 9n) = 45

Reorder the terms:
-12 + 27 + -6n + 9n = 45

Combine like terms: -12 + 27 = 15
15 + -6n + 9n = 45

Combine like terms: -6n + 9n = 3n
15 + 3n = 45

Solving
15 + 3n = 45

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 3n = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 3n = 45 + -15
3n = 45 + -15

Combine like terms: 45 + -15 = 30
3n = 30

Divide each side by '3'.
n = 10

Simplifying
n = 10