0.5*(n+1)+(3n+3)=

Solution for 0.5*(n+1)+(3n+3)= equation:

Simplifying
0.5(n + 1) + (3n + 3) = 0

Reorder the terms:
0.5(1 + n) + (3n + 3) = 0
(1 * 0.5 + n * 0.5) + (3n + 3) = 0
(0.5 + 0.5n) + (3n + 3) = 0

Reorder the terms:
0.5 + 0.5n + (3 + 3n) = 0

Remove parenthesis around (3 + 3n)
0.5 + 0.5n + 3 + 3n = 0

Reorder the terms:
0.5 + 3 + 0.5n + 3n = 0

Combine like terms: 0.5 + 3 = 3.5
3.5 + 0.5n + 3n = 0

Combine like terms: 0.5n + 3n = 3.5n
3.5 + 3.5n = 0

Solving
3.5 + 3.5n = 0

Solving for variable 'n'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 3.5n = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 3.5n = 0 + -3.5
3.5n = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
3.5n = -3.5

Divide each side by '3.5'.
n = -1

Simplifying
n = -1