Answer
yes
Work Step by Step
$5(n-7)=65$$\longrightarrow$distributive poperty
$5n-35=65$$\longrightarrow$addition property of equality
$5n-35+35=65+35$$\longrightarrow$add
$5n=100$$\longrightarrow$multiplication property of equality
$5n\div5=100\div5$divide
$n=20\checkmark$$\longrightarrow$20 is a solution