Question

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

Answer 1

m = -1

Explanation:

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

m = -1

Answer 2

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Hi there!

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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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