-13-7n=-6-9(n+3)

Solution for -13-7n=-6-9(n+3) equation:

Simplifying
-13 + -7n = -6 + -9(n + 3)

Reorder the terms:
-13 + -7n = -6 + -9(3 + n)
-13 + -7n = -6 + (3 * -9 + n * -9)
-13 + -7n = -6 + (-27 + -9n)

Combine like terms: -6 + -27 = -33
-13 + -7n = -33 + -9n

Solving
-13 + -7n = -33 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-13 + -7n + 9n = -33 + -9n + 9n

Combine like terms: -7n + 9n = 2n
-13 + 2n = -33 + -9n + 9n

Combine like terms: -9n + 9n = 0
-13 + 2n = -33 + 0
-13 + 2n = -33

Add '13' to each side of the equation.
-13 + 13 + 2n = -33 + 13

Combine like terms: -13 + 13 = 0
0 + 2n = -33 + 13
2n = -33 + 13

Combine like terms: -33 + 13 = -20
2n = -20

Divide each side by '2'.
n = -10

Simplifying
n = -10