3(n+7)+4(n+4)=

Solution for 3(n+7)+4(n+4)= equation:

Simplifying
3(n + 7) + 4(n + 4) = 0

Reorder the terms:
3(7 + n) + 4(n + 4) = 0
(7 * 3 + n * 3) + 4(n + 4) = 0
(21 + 3n) + 4(n + 4) = 0

Reorder the terms:
21 + 3n + 4(4 + n) = 0
21 + 3n + (4 * 4 + n * 4) = 0
21 + 3n + (16 + 4n) = 0

Reorder the terms:
21 + 16 + 3n + 4n = 0

Combine like terms: 21 + 16 = 37
37 + 3n + 4n = 0

Combine like terms: 3n + 4n = 7n
37 + 7n = 0

Solving
37 + 7n = 0

Solving for variable 'n'.

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

Add '-37' to each side of the equation.
37 + -37 + 7n = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 7n = 0 + -37
7n = 0 + -37

Combine like terms: 0 + -37 = -37
7n = -37

Divide each side by '7'.
n = -5.285714286

Simplifying
n = -5.285714286