Answer
$z=1$
Work Step by Step
$10+5(z-2)=4z+1$ $\longrightarrow$ distributive property
$10+5z-10=4+1$ $\longrightarrow$ simplify
$5z=5$ $\longrightarrow$multiplication property
$5z\div5=5\div5$ $\longrightarrow$simplify
$z=1$
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