How can I use Newton raphson to solve the following Psychrometric Equation

Given the dry-bulb temperature, Tdb, and the relative humidity, ɸ, the wet-bulb temperature Twb may be calculated from the psychrometric equation:

Pv = Pss – Patm A(Tdb – Twb) (1)

The vapor pressure Pv is given by:

Pv = Pvs ɸ (2)

Where:

Pv = vapor pressure at Tdb (kPa)

Pss = saturated vapor pressure at Twb (kPa)

Pvs = saturated vapor pressure at Tdb (kPa)

Patm= atmospheric pressure (kPa)

Tdb = dry-bulb temperature (oC)

Twb = wet-bulb temperature (oC)

A = constant having the values: For screen A = 7.99x10-4 C-1 and for sling or aspirated (used here) A = 6.66x10-4 C-1.

ɸ = relative humidity (%)

The saturated vapor pressures Pss, and Pvs are calculated at Twb and Tdb, respectively by:

log10 P = 30.59051- 8.2 log10 T + 0.0024804 T – 3142.31/ T (3)

Where T is in Kelvin and P in kPa. Using Eqs. (2) and (3) solve Eq. (1) for the wet-bulb temperature using the specified method (Newton-Raphson, Bisection, ..etc.). Verify your answer for Tdb= 41oC and ɸ = 82%.