Question
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Answer
Calculate the expression \( (-2)(-3)+(-2)-(-3) \) to get \( 6 - 2 + 3 = 7 \).
Solution
Calculate or simplify the expression \( (-2)(-3)+(-2)-(-3) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(-2\right)\left(-3\right)+\left(-2\right)-\left(-3\right)\)
- step1: Remove the parentheses:
\(\left(-2\right)\left(-3\right)+\left(-2\right)+3\)
- step2: Remove the parentheses:
\(-2\left(-3\right)-2+3\)
- step3: Multiply the numbers:
\(6-2+3\)
- step4: Calculate:
\(7\)
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Beyond the Answer
Let's break down that expression step by step! First, we multiply: \( (-2)(-3) = 6 \) because multiplying two negative numbers gives us a positive result. Next, we have \( 6 + (-2) = 6 - 2 = 4 \). Finally, when we simplify \( 4 - (-3) \), we essentially add 3 (since subtracting a negative is the same as adding a positive), giving us \( 4 + 3 = 7 \). So, the answer to \( (-2)(-3) + (-2) - (-3) \) is \( 7 \)! Isn’t math just a little bit magical?