6*(n+6)+4*(n+3)=

Solution for 6*(n+6)+4*(n+3)= equation:

Simplifying
6(n + 6) + 4(n + 3) = 0

Reorder the terms:
6(6 + n) + 4(n + 3) = 0
(6 * 6 + n * 6) + 4(n + 3) = 0
(36 + 6n) + 4(n + 3) = 0

Reorder the terms:
36 + 6n + 4(3 + n) = 0
36 + 6n + (3 * 4 + n * 4) = 0
36 + 6n + (12 + 4n) = 0

Reorder the terms:
36 + 12 + 6n + 4n = 0

Combine like terms: 36 + 12 = 48
48 + 6n + 4n = 0

Combine like terms: 6n + 4n = 10n
48 + 10n = 0

Solving
48 + 10n = 0

Solving for variable 'n'.

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

Add '-48' to each side of the equation.
48 + -48 + 10n = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 10n = 0 + -48
10n = 0 + -48

Combine like terms: 0 + -48 = -48
10n = -48

Divide each side by '10'.
n = -4.8

Simplifying
n = -4.8