7. The two equations have different solution steps. Do they have the same solution?
Use the distributive property to show why this answer makes sense.

Yes, they have the same solution.

Step-by-step explanation:

Both of these equations have the same solution, just different steps.

To solve Ravi's equation, first we use the distributive property.

2(x+14) = 40

Multiply 2 by x and 14

2x + 28 = 40

Subtract 28 from both sides.

2x + 28 - 28 = 40 - 28

2x = 12

Divide by 2 on both sides.

2x/2 = x

12/2 = 6

so x = 6.

Fran's equation is the same equation as Ravi's second step.

Her equation of 2x + 28 = 40 is Ravi's after distributing 2.

2(x+14)=40

2(x+14)=40

÷2         ÷2

x+14=20

 -14  -14

x=6

2x+28=40

   -28       -28

2x=12

÷2  ÷2

x=6

I hope this is what you wanted:

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