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Simplify (-30)/(5)-(18-9)/(-3)...

Simplify `(-30)/(5)-(18-9)/(-3)`

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To simplify the expression \((-30)/(5) - (18 - 9)/(-3)\), we will follow these steps: ### Step 1: Simplify the first term Calculate \(-30 / 5\). \[ -30 / 5 = -6 \] **Hint:** When dividing a negative number by a positive number, the result is negative. ### Step 2: Simplify the second term First, simplify the expression inside the parentheses: \(18 - 9\). \[ 18 - 9 = 9 \] Now, substitute this back into the second term: \[ (18 - 9) / (-3) = 9 / (-3) \] Now calculate \(9 / (-3)\): \[ 9 / (-3) = -3 \] **Hint:** When dividing a positive number by a negative number, the result is negative. ### Step 3: Combine the results Now we have: \[ -6 - (-3) \] This can be rewritten as: \[ -6 + 3 \] **Hint:** Subtracting a negative number is the same as adding its positive counterpart. ### Step 4: Perform the final calculation Now, calculate \(-6 + 3\): \[ -6 + 3 = -3 \] ### Final Answer The simplified form of the expression is: \[ \boxed{-3} \]
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