Question

Solve:

6m+5=-(1-8m)

Show your work!

Answer 1

3=m

Explanation:

6m+5=-(1-8m)

6m+5=-1(1-8m)

6m+5=-1+8m

6m+6=8m

6=2m

3=m

Answer 2

• 
  `\sf m=3`

Explanation:

`\sf 6m+5=-(1-8m)`

⟹ Expand, Apply Distributive property.

`\sf 6m+5=-1+8m`

⟹ Subtract 5 from both sides:

`\sf 6m+5-5=-1+8m-5`

`\sf 6m=8m-6`

⟹ Subtract 8m from both sides:

`\sf 6m-8m=8m-6-8m`

`\sf -2m=-6`

⟹ Divide both sides by -2:

`\sf \cfrac{-2m}{-2}=\cfrac{-6}{-2}`

`\sf m=3`

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