Consider this equation.

7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)


Mia solved the equation and determined that m = 2. Is she correct?

Answer:

No, Mia is not correct, the answer is -2.

Step-by-step explanation:

First we are going to use the distributive Property.

Step 1: 2(0.75+0.4). multiply the 2 out. .75m x 2=1.5m and 2 x .4= .8.

We get 1.5m+.8, so 2(0.75+0.4)=1.5m+.8

Now we are going to distribute on the oher side. 4(.5m-.8)

4x .5m=2m and 4x.8=3.2. Keep the sign the same and we get 2m-3.2, so 4(.5m-.8)=2m-3.2

We put this into the new equation to get 1.5m+.8+7.8=-6.4m+2m-3.2

Step 2: combine like terms

.8+7.8= 8.6 and -6.4m +2m =-4.4m

Plug that into our equation and we get 1.5mn+8.6=-4.4m-3.2

Step 3: Switch the sides

Bring -4.4m to the other side to get 1.5m+4.4m=5.9m

One side is 5.9m

We bring 8.6 to the other side to get -8.6. now we do -3.2-8.6=-11.8.

Our new equation is 5.9m=-11.8

divide by 5.9 on both sides to get our answer of

m=-2

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