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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
38 = 6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
38 + -3t = 6 + 3t + -3t

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

Add '-38' to each side of the equation.
38 + -38 + -3t = 6 + -38

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

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

Divide each side by '-3'.
t = 10.66666667

Simplifying
t = 10.66666667