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(-6)+(-8)=(-8)+ . . . . ....

`(-6)+(-8)=(-8)+ . . . . . `

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To solve the equation \((-6) + (-8) = (-8) + \ldots\), we need to find the value that should be placed in the blank on the right-hand side. ### Step-by-Step Solution: 1. **Identify the Equation**: We start with the equation: \[ (-6) + (-8) = (-8) + x \] where \(x\) is the unknown we need to find. 2. **Calculate the Left Side**: Let's first calculate the left side of the equation: \[ (-6) + (-8) \] When we add two negative numbers, we simply add their absolute values and keep the negative sign: \[ -6 + -8 = - (6 + 8) = -14 \] So, the left side simplifies to \(-14\). 3. **Set Up the Equation**: Now we can rewrite the equation with the calculated value: \[ -14 = (-8) + x \] 4. **Isolate \(x\)**: To find \(x\), we need to isolate it on one side of the equation. We can do this by adding \(8\) to both sides: \[ -14 + 8 = x \] Simplifying the left side: \[ -14 + 8 = -6 \] Therefore, we have: \[ x = -6 \] 5. **Final Answer**: The value that should be placed in the blank is: \[ x = -6 \] ### Conclusion: Thus, the complete equation is: \[ (-6) + (-8) = (-8) + (-6) \]
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