2(N+6)-7(1+3)=-33

Solution for 2(N+6)-7(1+3)=-33 equation:

Simplifying
2(N + 6) + -7(1 + 3) = -33

Reorder the terms:
2(6 + N) + -7(1 + 3) = -33
(6 * 2 + N * 2) + -7(1 + 3) = -33
(12 + 2N) + -7(1 + 3) = -33

Combine like terms: 1 + 3 = 4
12 + 2N + -7(4) = -33

Multiply -7 * 4
12 + 2N + -28 = -33

Reorder the terms:
12 + -28 + 2N = -33

Combine like terms: 12 + -28 = -16
-16 + 2N = -33

Solving
-16 + 2N = -33

Solving for variable 'N'.

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

Add '16' to each side of the equation.
-16 + 16 + 2N = -33 + 16

Combine like terms: -16 + 16 = 0
0 + 2N = -33 + 16
2N = -33 + 16

Combine like terms: -33 + 16 = -17
2N = -17

Divide each side by '2'.
N = -8.5

Simplifying
N = -8.5