Answer
$m=1$
Work Step by Step
$6-2m=3m+1$ $\longrightarrow$ addition property of equality
$6-2m+2m-1=3m+1+2m-1$ $\longrightarrow$combine like terms
$5=5m$ $\longrightarrow$multiplication property of equality
$5\div5=5m\div5$ $\longrightarrow$simplify
$1=m$
