1. **State the problem:** Simplify the expression $2i - 14i$. 2. **Recall the rule:** When subtracting like terms, subtract their coefficients and keep the variable the same. 3. **Apply the rule:** $$2i - 14i = (2 - 14)i$$ 4. **Simplify the coefficients:** $$2 - 14 = \cancel{2} - \cancel{14} = -12$$ 5. **Write the final simplified expression:** $$-12i$$ **Final answer:** $-12i$