For this case we have the following equation:
[tex]30-7n = 6 (-6n-5)[/tex]
We apply distributive property on the right side of the equation, taking into account that:
[tex]+ * - = -[/tex]
So:
[tex]30-7n = -36n-30[/tex]
We add 36n to both sides of the equation:
[tex]30-7n + 36n = -30\\30 + 29n = -30[/tex]
We subtract 30 from both sides of the equation:
[tex]29n = -30-30[/tex]
Equal signs are added and the same sign is placed.
[tex]29n = -60[/tex]
We divide between 29 on both sides of the equation:
[tex]n = - \frac {60} {29}[/tex]
Thus, the equation has a unique solution.
Answer:
[tex]n = - \frac {60} {29}[/tex]
