Algebra 1: Common Core (15th Edition)

$n=-14$
In order to solve this algebraic expression, we must isolate the variable. A variable is the letter in the problem (for instance, in the equation 2x=10, x is the variable). In the expression -6=3/7n, n is being multiplied by a fraction, which we must cancel out. In order to cancel out a fraction being multiplied by a variable, we multiply both sides of the equation by the reciprocal of the fraction, which is the fraction flipped upside down. (For instance, the reciprocal of ⅖ is 5/2). Thus, we multiply both sides of the equation by 7/3 to obtain that $n=-14$. We plug -14 in for n and confirm that our answer is, indeed, correct.