For this case we must solve the following equation:
[tex]\frac {4} {5} p + 6 = - \frac {1} {3} p-3[/tex]
Adding[tex]\frac {1} {3} p[/tex] to both sides of the equation we have:
[tex]\frac {4} {5} p + \frac {1} {3} p + 6 = -3\\\frac {3 * 4 + 5 * 1} {3 * 5} p + 6 = -3\\\frac {12 + 5} {15} p + 6 = -3\\\frac {17} {15} p + 6 = -3[/tex]
Subtracting 6 from both sides of the equation:
[tex]\frac {17} {15} p = -3-6[/tex]
Equal signs are added and the same sign is placed:
[tex]\frac {17} {15} p = -9[/tex]
We multiply by 15 on both sides of the equation:
[tex]17p = -9 * 15\\17p = -135[/tex]
We divide between 17 on both sides of the equation:
[tex]p = - \frac {135} {17}[/tex]
Thus, the value of the variable p is [tex]- \frac {135} {17}[/tex]
Answer:
[tex]p = - \frac {135} {17}[/tex]
