7(n+5)+3(n-1)=

Solution for 7(n+5)+3(n-1)= equation:

Simplifying
7(n + 5) + 3(n + -1) = 0

Reorder the terms:
7(5 + n) + 3(n + -1) = 0
(5 * 7 + n * 7) + 3(n + -1) = 0
(35 + 7n) + 3(n + -1) = 0

Reorder the terms:
35 + 7n + 3(-1 + n) = 0
35 + 7n + (-1 * 3 + n * 3) = 0
35 + 7n + (-3 + 3n) = 0

Reorder the terms:
35 + -3 + 7n + 3n = 0

Combine like terms: 35 + -3 = 32
32 + 7n + 3n = 0

Combine like terms: 7n + 3n = 10n
32 + 10n = 0

Solving
32 + 10n = 0

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -32 + 10n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 10n = 0 + -32
10n = 0 + -32

Combine like terms: 0 + -32 = -32
10n = -32

Divide each side by '10'.
n = -3.2

Simplifying
n = -3.2