Given "f = (5t - 1)i + tj + 5k," "g = e⁵ti - 2tj + 5e⁶tk," and "h = t⁶i - 2tj," find "5f - g + 3h."

a) (4e⁵t - 10t⁵)i + (11t - 2)j + (25e⁶t + 15t⁶)k
b) (6e⁵t - 9t⁵)i + (10t - 3)j + (30e⁶t - 12t⁶)k
c) (5e⁵t - 8t⁵)i + (9t - 1)j + (20e⁶t + 18t⁶)k
d) (7e⁵t - 11t⁵)i + (12t - 4)j + (35e⁶t - 21t⁶)k