Question

Solve for m.
9m - (6m - 7) = 2 (m - 3)
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Answer 1

`\boxed{\boxed{\tt m=-13}}`

Explanation:

`\tt 9m-\left(6m-7\right)=2\left(m-3\right)`

Expand, Apply the Distributive property:

`\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}`

`\tt 2\left(m-3\right)\leadsto \underline{2m-6}`

`\star \:\:\tt 3m+7=2m-6`

Subtract 7 from both sides:

`\star \:\:\tt 3m+7-7=2m-6-7`

`\star \:\: \tt 3m=2m-13`

Subtract 2m from both sides:

`\star \:\: \tt 3m-2m=2m-13-2m`

`\star \:\: \tt m=-13`

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