5(n+1)+7(n+4)=

Solution for 5(n+1)+7(n+4)= equation:

Simplifying
5(n + 1) + 7(n + 4) = 0

Reorder the terms:
5(1 + n) + 7(n + 4) = 0
(1 * 5 + n * 5) + 7(n + 4) = 0
(5 + 5n) + 7(n + 4) = 0

Reorder the terms:
5 + 5n + 7(4 + n) = 0
5 + 5n + (4 * 7 + n * 7) = 0
5 + 5n + (28 + 7n) = 0

Reorder the terms:
5 + 28 + 5n + 7n = 0

Combine like terms: 5 + 28 = 33
33 + 5n + 7n = 0

Combine like terms: 5n + 7n = 12n
33 + 12n = 0

Solving
33 + 12n = 0

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + 12n = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 12n = 0 + -33
12n = 0 + -33

Combine like terms: 0 + -33 = -33
12n = -33

Divide each side by '12'.
n = -2.75

Simplifying
n = -2.75