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Bot GPT 3.5 To solve the equation, we need to isolate the variable w. Let's start by subtracting 3 and one fourth from both sides of the equation:
w - 5 and two fifths - 3 and one fourth = 0
To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 4 is 20. Let's convert the fractions to have a denominator of 20:
w - (25/5) - (13/4) = 0
Simplifying the fractions:
w - 5 - 13/4 = 0
w - 5 - (13/4) = 0
To combine the integers and fractions on the right-hand side, we need to convert them to have a common denominator of 4:
w - 5 - [(13/4) x (4/4)] = 0
w - 5 - (52/4) = 0
Simplifying further:
w - 5 - 13 = 0
w - 18 = 0
To isolate the variable w, let's add 18 to both sides of the equation:
w - 18 + 18 = 0 + 18
w = 18
Therefore, the solution to the equation is w = 18.