(q+4)+(q+3)+(q-1)=38

Solution for (q+4)+(q+3)+(q-1)=38 equation:

Simplifying
(q + 4) + (q + 3) + (q + -1) = 38

Reorder the terms:
(4 + q) + (q + 3) + (q + -1) = 38

Remove parenthesis around (4 + q)
4 + q + (q + 3) + (q + -1) = 38

Reorder the terms:
4 + q + (3 + q) + (q + -1) = 38

Remove parenthesis around (3 + q)
4 + q + 3 + q + (q + -1) = 38

Reorder the terms:
4 + q + 3 + q + (-1 + q) = 38

Remove parenthesis around (-1 + q)
4 + q + 3 + q + -1 + q = 38

Reorder the terms:
4 + 3 + -1 + q + q + q = 38

Combine like terms: 4 + 3 = 7
7 + -1 + q + q + q = 38

Combine like terms: 7 + -1 = 6
6 + q + q + q = 38

Combine like terms: q + q = 2q
6 + 2q + q = 38

Combine like terms: 2q + q = 3q
6 + 3q = 38

Solving
6 + 3q = 38

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -6 + 3q = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 3q = 38 + -6
3q = 38 + -6

Combine like terms: 38 + -6 = 32
3q = 32

Divide each side by '3'.
q = 10.66666667

Simplifying
q = 10.66666667