Question

30-7n=6(-6n-5)
Is this a many solution problem

Answer 1

For this case we have the following equation:

`30-7n = 6 (-6n-5)`

We apply distributive property on the right side of the equation, taking into account that:

`+ * - = -`

So:

`30-7n = -36n-30`

We add 36n to both sides of the equation:

`30-7n + 36n = -30\\30 + 29n = -30`

We subtract 30 from both sides of the equation:

`29n = -30-30`

Equal signs are added and the same sign is placed.

`29n = -60`

We divide between 29 on both sides of the equation:

`n = - \frac {60} {29}`

Thus, the equation has a unique solution.

Answer:

`n = - \frac {60} {29}`