For this case we must find the value of the variable "p" of the following equation:
[tex]3p-2 (p-4) = 7p + 6[/tex]
We apply distributive property on the left side of the equation taking into account that [tex]+*-=-[/tex] and [tex]- * - = +[/tex]:
[tex]3p-2p + 8 = 7p + 6[/tex]
We add similar terms:
[tex]p + 8 = 7p + 6[/tex]
We subtract [tex]7p[/tex] from both sides of the equation:
[tex]p-7p + 8 = 6\\-6p + 8 = 6[/tex]
We subtract 8 from both sides of the equation:
[tex]-6p = 6-8\\-6p = -2[/tex]
We divide by -6 on both sides of the equation:
[tex]p = \frac {-2} {- 6}\\p = \frac {1} {3}[/tex]
Answer:
[tex]p = \frac {1} {3}[/tex]
