Subjects algebra

Simplify Expression A1771C

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1. **State the problem:** Simplify the expression $3 - \left(16 \div (-2)\right) - \left(2 - 5.3\right) + (-2)^3 \div (-2)$. 2. **Recall order of operations:** Perform division and exponentiation first, then addition and subtraction from left to right. 3. Calculate each part step-by-step: - Calculate $16 \div (-2) = -8$. - Calculate $2 - 5.3 = -3.3$. - Calculate $(-2)^3 = -8$. - Calculate $-8 \div (-2) = 4$. 4. Substitute these values back into the expression: $$3 - (-8) - (-3.3) + 4$$ 5. Simplify the expression: $$3 + 8 + 3.3 + 4$$ 6. Add all terms: $$3 + 8 = 11$$ $$11 + 3.3 = 14.3$$ $$14.3 + 4 = 18.3$$ 7. **Final answer:** $$\boxed{18.3}$$