To solve the equation \( \frac{5z + 3}{5} = 10 \), follow these steps:
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Multiply both sides by 5 to eliminate the fraction: \[ 5z + 3 = 50 \]
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Subtract 3 from both sides: \[ 5z = 50 - 3 \] \[ 5z = 47 \]
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Divide both sides by 5 to solve for \( z \): \[ z = \frac{47}{5} \]
So, the solution is: \[ z = 9.4 \]