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

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

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

Combine like terms: -6n + -3n = -9n
-9n = -3(3 + 4n) + 4(n + 6)
-9n = (3 * -3 + 4n * -3) + 4(n + 6)
-9n = (-9 + -12n) + 4(n + 6)

Reorder the terms:
-9n = -9 + -12n + 4(6 + n)
-9n = -9 + -12n + (6 * 4 + n * 4)
-9n = -9 + -12n + (24 + 4n)

Reorder the terms:
-9n = -9 + 24 + -12n + 4n

Combine like terms: -9 + 24 = 15
-9n = 15 + -12n + 4n

Combine like terms: -12n + 4n = -8n
-9n = 15 + -8n

Solving
-9n = 15 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
-9n + 8n = 15 + -8n + 8n

Combine like terms: -9n + 8n = -1n
-1n = 15 + -8n + 8n

Combine like terms: -8n + 8n = 0
-1n = 15 + 0
-1n = 15

Divide each side by '-1'.
n = -15

Simplifying
n = -15