Solve for p:
4.05 p+14.4 = 4.5 (p+3)
Expand out terms of the right hand side:
4.05 p+14.4 = 4.5 p+13.5
Subtract 4.5 p from both sides:
(4.05 p-4.5 p)+14.4 = (4.5 p-4.5 p)+13.5
4.05 p-4.5 p = -0.45 p:
-0.45 p+14.4 = (4.5 p-4.5 p)+13.5
4.5 p-4.5 p = 0:
14.4-0.45 p = 13.5
Subtract 14.4 from both sides:
(14.4-14.4)-0.45 p = 13.5-14.4
14.4-14.4 = 0:
-0.45 p = 13.5-14.4
13.5-14.4 = -0.9:
-0.45 p = -0.9
Divide both sides of -0.45 p = -0.9 by -0.45:
(-0.45 p)/(-0.45) = (-0.9)/(-0.45)
(-0.45)/(-0.45) = 1:
p = (-0.9)/(-0.45)
(-0.9)/(-0.45) = 2.:
Answer: |p = 2.