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

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

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

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

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

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

Combine like terms: -2 + -3 = -5
-5 + -2n + -3n = 2(n + 1)

Combine like terms: -2n + -3n = -5n
-5 + -5n = 2(n + 1)

Reorder the terms:
-5 + -5n = 2(1 + n)
-5 + -5n = (1 * 2 + n * 2)
-5 + -5n = (2 + 2n)

Solving
-5 + -5n = 2 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-5 + -5n + -2n = 2 + 2n + -2n

Combine like terms: -5n + -2n = -7n
-5 + -7n = 2 + 2n + -2n

Combine like terms: 2n + -2n = 0
-5 + -7n = 2 + 0
-5 + -7n = 2

Add '5' to each side of the equation.
-5 + 5 + -7n = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -7n = 2 + 5
-7n = 2 + 5

Combine like terms: 2 + 5 = 7
-7n = 7

Divide each side by '-7'.
n = -1

Simplifying
n = -1