2(2N+3)=-6(N+9)

Solution for 2(2N+3)=-6(N+9) equation:

Simplifying
2(2N + 3) = -6(N + 9)

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

Reorder the terms:
6 + 4N = -6(9 + N)
6 + 4N = (9 * -6 + N * -6)
6 + 4N = (-54 + -6N)

Solving
6 + 4N = -54 + -6N

Solving for variable 'N'.

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

Add '6N' to each side of the equation.
6 + 4N + 6N = -54 + -6N + 6N

Combine like terms: 4N + 6N = 10N
6 + 10N = -54 + -6N + 6N

Combine like terms: -6N + 6N = 0
6 + 10N = -54 + 0
6 + 10N = -54

Add '-6' to each side of the equation.
6 + -6 + 10N = -54 + -6

Combine like terms: 6 + -6 = 0
0 + 10N = -54 + -6
10N = -54 + -6

Combine like terms: -54 + -6 = -60
10N = -60

Divide each side by '10'.
N = -6

Simplifying
N = -6