Step 1 remove paranthesis
(-30a-105)=-15
Step 2: Move constant to RHS (take not negative sign is removed if sides are changed and vice versa)
-30a=-15+105
-30a=90
Step 3: Simplify
-a=3
Step 4: remove negative sign from variable
a=3
The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT
where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference
In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)
where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.
Answer: 55°
