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2(n+3)+4(n+3)+2(n+4)=50
We simplify the equation to the form, which is simple to understand
2(n+3)+4(n+3)+2(n+4)=50
Reorder the terms in parentheses
+(+2n+6)+4*(n+3)+2*(n+4)=50
Remove unnecessary parentheses
+2n+6+4+*(+n+3+)+2+*(+n+4+)=+50
Reorder the terms in parentheses
+2n+6+(+4n+12)+2*(n+4)=50
Remove unnecessary parentheses
+2n+6+4n+12+2+*(+n+4+)=+50
Reorder the terms in parentheses
+2n+6+4n+12+(+2n+8)=50
Remove unnecessary parentheses
+2n+6+4n+12+2n+8=+50
We move all terms containing n to the left and all other terms to the right.
+2n+4n+2n=+50-6-12-8
We simplify left and right side of the equation.
+8n=+24
We divide both sides of the equation by 8 to get n.
n=3
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