To solve the equation \( 2(2z + 10) = 36 \), follow these steps:
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Distribute \( 2 \) on the left side: \[ 4z + 20 = 36 \]
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Subtract \( 20 \) from both sides: \[ 4z = 36 - 20 \] \[ 4z = 16 \]
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Divide both sides by \( 4 \): \[ z = \frac{16}{4} \] \[ z = 4 \]
So, the solution is \( z = 4 \).