An expression is shown below: 4(m + 3 + 5m) part a: write two expressions that are equivalent to the given expression. 2(2m+6+10m) 4m+12+20m part b: show that one of your expressions in part a is equivalent to the given expression using algebraic properties. explain which properties you used. part c: show that your other expression from part a is equivalent to the given expression by substituting a number for m.

Part C: Plug in 10 for X and the values are the same.

In Part A, you said the the expression 4m + 12 + 20m is equal to the expression 4(m + 3 + 5m).

Now in Part C, we have to test a value to see if it is true. Let's let x be equal to 10. Below, I plugged in 10 and found they are equal.

4m + 12 + 20m = 4(m + 3 + 5m)
40 + 12 + 200 = 4(10 + 3 + 50)
252 = 4(63)
252 = 252

We substituted in a value for m and they are still equivalent.