Final answer:
The standard form of the given complex number expression is -9/4 + 2i.
Step-by-step explanation:
To determine the standard form of the complex number 3i + (3/4 + 2i) - (3 + 3i), it is imperative to consolidate like terms. Commencing with the real parts, the subtraction of 3 from 3/4 yields -9/4. Moving to the imaginary parts, combining 3i, 2i, and -3i results in 2i. Consequently, the standard form of the complex number manifests as -9/4 + 2i. This form succinctly represents the real and imaginary components, with the real part -9/4 and the imaginary part 2i. It is essential to recognize that this corresponds to option B, confirming the accuracy of the simplification process.