To solve the equation \(10 = z + 6\), we need to isolate the variable \(z\). This can be done by subtracting 6 from both sides of the equation.
We start with the equation given in the problem: \[ 10 = z + 6 \]
To isolate \(z\), we subtract 6 from both sides of the equation: \[ 10 - 6 = z \]
Calculating the left side gives us: \[ z = 4 \]
The solution to the equation is \[ \boxed{z = 4} \]
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