Question

What are the steps and properties to this problem

Answer 1

3(2m+12) -4m = 20 -3(3m+5)

Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)

Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.

6m+36 -4m = 20 -9m-15
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Step 2. Simplify by adding like terms.

Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.

6m+-4m= 2m. 20+(-15)=5
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2m+36=5-9m

Step 3. Add 9m to both sides
11m+36=5
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Step 4. Subtract 36 from both sides
11m=-31
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Step 5. Divide by 11
m=-31/11





If you can please provide brainliest. I took 30 minutes doing this.