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State whether true or false. 7-(-3)=7+...

State whether true or false.
`7-(-3)=7+3`

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To determine whether the statement \( 7 - (-3) = 7 + 3 \) is true or false, we will evaluate both sides of the equation step by step. ### Step 1: Evaluate the Left-Hand Side (LHS) The left-hand side of the equation is \( 7 - (-3) \). **Hint:** Remember that subtracting a negative number is the same as adding its positive counterpart. So, we can rewrite it as: \[ 7 - (-3) = 7 + 3 \] ### Step 2: Calculate \( 7 + 3 \) Now, we will calculate \( 7 + 3 \): \[ 7 + 3 = 10 \] ### Step 3: Evaluate the Right-Hand Side (RHS) The right-hand side of the equation is \( 7 + 3 \). **Hint:** This is the same expression we found in the previous step. Calculating it gives: \[ 7 + 3 = 10 \] ### Step 4: Compare LHS and RHS Now we compare the results from both sides: - LHS: \( 7 - (-3) = 10 \) - RHS: \( 7 + 3 = 10 \) Since both sides are equal: \[ LHS = RHS \] ### Conclusion Since \( 7 - (-3) = 7 + 3 \) is true, we conclude that the statement is **True**. ---
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