7(n+6)+3(n-3)=

Solution for 7(n+6)+3(n-3)= equation:

Simplifying
7(n + 6) + 3(n + -3) = 0

Reorder the terms:
7(6 + n) + 3(n + -3) = 0
(6 * 7 + n * 7) + 3(n + -3) = 0
(42 + 7n) + 3(n + -3) = 0

Reorder the terms:
42 + 7n + 3(-3 + n) = 0
42 + 7n + (-3 * 3 + n * 3) = 0
42 + 7n + (-9 + 3n) = 0

Reorder the terms:
42 + -9 + 7n + 3n = 0

Combine like terms: 42 + -9 = 33
33 + 7n + 3n = 0

Combine like terms: 7n + 3n = 10n
33 + 10n = 0

Solving
33 + 10n = 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 + 10n = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 10n = 0 + -33
10n = 0 + -33

Combine like terms: 0 + -33 = -33
10n = -33

Divide each side by '10'.
n = -3.3

Simplifying
n = -3.3