When her allowance is $5 a week, Francie gets a total of $5 * 8 = $<<5*8=40>>40
When her allowance is $6 a week, Francie gets a total of $6 * 6 = $<<6*6=36>>36
The total amount of money Francie gets is $40 + $36 = $<<40+36=76>>76
After purchasing new clothes, she has $76 / 2 = $<<76/2=38>>38 remaining
After buying the video game, Francie has $38 - $35 = $<<38-35=3>>3 remaining
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