1. **Simplify the expression 5a - (2a + 3b):** Start by distributing the negative sign inside the parentheses: $$5a - (2a + 3b) = 5a - 2a - 3b$$ Combine like terms: $$5a - 2a = 3a$$ So the simplified expression is: $$3a - 3b$$ This matches option d. 2. **Simplify the expression -1.5(2m - 4) + 0.5(6m + 2):** Distribute the constants: $$-1.5 \times 2m = -3m$$ $$-1.5 \times (-4) = +6$$ $$0.5 \times 6m = 3m$$ $$0.5 \times 2 = 1$$ Now combine all terms: $$-3m + 6 + 3m + 1$$ Combine like terms: $$-3m + 3m = \cancel{-3m} + \cancel{3m} = 0$$ $$6 + 1 = 7$$ So the simplified expression is: $$7$$ None of the options a (6), b (4), or c (5) match 7, so the correct simplified value is 7. 3. **Given options for the first question (c. 12x - 15 and d. -12x - 15), these appear unrelated to the simplification problem above and no question is stated for them, so no simplification is done here.** **Final answers:** - For the simplification of 5a - (2a + 3b), the answer is **d. 3a - 3b**. - For the simplification of -1.5(2m - 4) + 0.5(6m + 2), the simplified value is **7**, which is not listed among the options.