9-3(-3N+1)=2(-3N+4)+13

Solution for 9-3(-3N+1)=2(-3N+4)+13 equation:

Simplifying
9 + -3(-3N + 1) = 2(-3N + 4) + 13

Reorder the terms:
9 + -3(1 + -3N) = 2(-3N + 4) + 13
9 + (1 * -3 + -3N * -3) = 2(-3N + 4) + 13
9 + (-3 + 9N) = 2(-3N + 4) + 13

Combine like terms: 9 + -3 = 6
6 + 9N = 2(-3N + 4) + 13

Reorder the terms:
6 + 9N = 2(4 + -3N) + 13
6 + 9N = (4 * 2 + -3N * 2) + 13
6 + 9N = (8 + -6N) + 13

Reorder the terms:
6 + 9N = 8 + 13 + -6N

Combine like terms: 8 + 13 = 21
6 + 9N = 21 + -6N

Solving
6 + 9N = 21 + -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 + 9N + 6N = 21 + -6N + 6N

Combine like terms: 9N + 6N = 15N
6 + 15N = 21 + -6N + 6N

Combine like terms: -6N + 6N = 0
6 + 15N = 21 + 0
6 + 15N = 21

Add '-6' to each side of the equation.
6 + -6 + 15N = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 15N = 21 + -6
15N = 21 + -6

Combine like terms: 21 + -6 = 15
15N = 15

Divide each side by '15'.
N = 1

Simplifying
N = 1