To find which equation has a solution of \(-8\), we can substitute \(-8\) into each equation and see if the equation holds true.
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For the equation \(x - 4 = -12\): \[ -8 - 4 = -12 \quad \text{(True)} \]
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For the equation \(x - 8 = 0\): \[ -8 - 8 = 0 \quad \text{(False)} \]
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For the equation \(x + 3 = -11\): \[ -8 + 3 = -11 \quad \text{(False)} \]
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For the equation \(x - 10 = 2\): \[ -8 - 10 = 2 \quad \text{(False)} \]
The only equation that has a solution of \(-8\) is:
\(x - 4 = -12\).