Question 1208927
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Answers: 
<font color=red>73n + 44(n - 7)</font>
<font color=red>44(n - 7) + 73n</font>
<font color=red>117n - 308</font>


Reason
n = number of pairs of shoes
p = 73n = cost of just those shoes alone, when each pair sells at $73
n-7 = number of bags
q = 44(n-7) = cost of just those bags alone, when each bag sells at $44
shoes + bags = p+q = <font color=red>73n + 44(n - 7)</font> = total cost of shoes and bags
Since we can add two numbers in any order, it means the order of 44(n-7) and 73n doesn't matter. We can swap the order of p and q.
Therefore that expression in red is equivalent to <font color=red>44(n - 7) + 73n</font>
When distributing and combining like terms, you'll end up with <font color=red>117n - 308</font>


A visual way to verify if two algebraic expressions are equivalent is to graph them.
Consider graphing y = 73x+44(x-7) and y = 117x-308. Both will produce the exact same line. One line is perfectly overlapping the other. 
I recommend using either <a href="https://www.geogebra.org/calculator">GeoGebra</a> or <a href="https://www.desmos.com/calculator">Desmos</a> as a graphing tool.
Make sure that you use x instead of n. 
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