Juwan is thinking of a number. Twice the sum of Juwan’s number and 12 is equal to four less than three times Juwan’s number. What number is Juwan thinking of?(1 point)
Responses
28
28
16
16
5.6
5.6
20
20
its 28
Apologies for the incorrect response. You are correct, the number Juwan is thinking of is 28.
To find the number Juwan is thinking of, let's set up an equation:
Twice the sum of Juwan's number and 12 is equal to four less than three times Juwan's number:
2(n + 12) = 3n - 4
Let's solve the equation step-by-step:
2n + 24 = 3n - 4 (Distributing 2 to n and 12)
24 + 4 = 3n - 2n (Combining like terms)
28 = n (Combining like terms)
Therefore, the number Juwan is thinking of is 28.