2(n-3)-3(2n+1)=-1

Solution for 2(n-3)-3(2n+1)=-1 equation:

Simplifying
2(n + -3) + -3(2n + 1) = -1

Reorder the terms:
2(-3 + n) + -3(2n + 1) = -1
(-3 * 2 + n * 2) + -3(2n + 1) = -1
(-6 + 2n) + -3(2n + 1) = -1

Reorder the terms:
-6 + 2n + -3(1 + 2n) = -1
-6 + 2n + (1 * -3 + 2n * -3) = -1
-6 + 2n + (-3 + -6n) = -1

Reorder the terms:
-6 + -3 + 2n + -6n = -1

Combine like terms: -6 + -3 = -9
-9 + 2n + -6n = -1

Combine like terms: 2n + -6n = -4n
-9 + -4n = -1

Solving
-9 + -4n = -1

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + -4n = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -4n = -1 + 9
-4n = -1 + 9

Combine like terms: -1 + 9 = 8
-4n = 8

Divide each side by '-4'.
n = -2

Simplifying
n = -2