-2(n+3)=-4(2n+9)

Solution for -2(n+3)=-4(2n+9) equation:

Simplifying
-2(n + 3) = -4(2n + 9)

Reorder the terms:
-2(3 + n) = -4(2n + 9)
(3 * -2 + n * -2) = -4(2n + 9)
(-6 + -2n) = -4(2n + 9)

Reorder the terms:
-6 + -2n = -4(9 + 2n)
-6 + -2n = (9 * -4 + 2n * -4)
-6 + -2n = (-36 + -8n)

Solving
-6 + -2n = -36 + -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.
-6 + -2n + 8n = -36 + -8n + 8n

Combine like terms: -2n + 8n = 6n
-6 + 6n = -36 + -8n + 8n

Combine like terms: -8n + 8n = 0
-6 + 6n = -36 + 0
-6 + 6n = -36

Add '6' to each side of the equation.
-6 + 6 + 6n = -36 + 6

Combine like terms: -6 + 6 = 0
0 + 6n = -36 + 6
6n = -36 + 6

Combine like terms: -36 + 6 = -30
6n = -30

Divide each side by '6'.
n = -5

Simplifying
n = -5