2(n+1)=-1(2n+5)

Solution for 2(n+1)=-1(2n+5) equation:

Simplifying
2(n + 1) = -1(2n + 5)

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

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

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

Combine like terms: 2n + 2n = 4n
2 + 4n = -5 + -2n + 2n

Combine like terms: -2n + 2n = 0
2 + 4n = -5 + 0
2 + 4n = -5

Add '-2' to each side of the equation.
2 + -2 + 4n = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = -5 + -2
4n = -5 + -2

Combine like terms: -5 + -2 = -7
4n = -7

Divide each side by '4'.
n = -1.75

Simplifying
n = -1.75