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6(m+2)+6m=-5(-7m-7) Solve for m.

User Viktorzeid
by
7.3k points

2 Answers

4 votes

Answer:

m = -1

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m = -1

User Vaughan
by
6.8k points
4 votes

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Hi there!

~

Let's solve your equation step-by-step.


6(m+2)+6m=-5(-7m-7)

Step 1: Simplify both sides of the equation.


6(m+2)+6m=-5(-7m-7)


(6)^((m)) + (6)(2)+6m= (-5)(-7m)+(-5)(-7) (Distribute)


6m+12+6m=35m+35


(6m + 6m)+(12)=35m + 35 (Combine Like Terms)


12m + 12 = 35m + 35


12m + 12 = 35m + 35

Step 2: Subtract 35m from both sides.


12m + 12 - 35m = 35m + 35 - 35m


-23m + 12 = 35

Step 3: Subtract 12 from both sides.


-23m + 12 - 12= 35 - 12


-23m = 23

Step 4: Divide both sides by -23.


(-23m)/(-23) = (23)/(-23)


m = 1

❀Hope this helped you!❀

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User Tonso
by
7.0k points