Subjects algebra

Expression Simplification Fab7B1

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Expression Simplification Fab7B1


1. **State the problem:** We need to evaluate the expression $28 - 205 - 8a + 565 + 365 - 52 + 4(95 - 17)$. 2. **Understand the expression:** The expression contains subtraction, addition, multiplication, and a variable term $8a$. We will simplify step-by-step. 3. **Simplify inside the parentheses:** Calculate $95 - 17$. $$95 - 17 = 78$$ 4. **Multiply:** Multiply $4$ by the result from step 3. $$4 \times 78 = 312$$ 5. **Combine constants:** Add and subtract all constant terms: $$28 - 205 + 565 + 365 - 52 + 312$$ Calculate stepwise: $$28 - 205 = -177$$ $$-177 + 565 = 388$$ $$388 + 365 = 753$$ $$753 - 52 = 701$$ $$701 + 312 = 1013$$ 6. **Include the variable term:** The expression now is $$1013 - 8a$$ **Final answer:** $$\boxed{1013 - 8a}$$