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hey guys mr. lit oh here lets take a look at how we can represent and solve equations using hanger models so if we take a look at this first hanger model you can see that I have something hanging on the left side of the hanger and something hanging on the right side because this hanger is balanced or level that tells me that the value on the left side or the weight of the left side is the same or equal to the value and the weight on the right side so in this case I have 1 2 3 4 5 6 7 on the left side and I have 3 Ws and 1 on the right side and again because this hanger is balanced I know that 7 has to be the same weight as 3w + 1 or 7 is equal to 3w + 1 when we look at our second hanger model which is again balanced on the left side I see two Zs + 3 so I have 2 Z plus 3 and on the right side I have 1 2 3 4 5 and again because this hanger is balanced I know that 2z plus 3 has to be the same as or equal to 5 and in my last hanger model I have 3 Xs + 2 so 3 X plus 2 on the left side