The sum of two times a number and 16 is five times the difference of a number and six. Solve for a variable

To solve this problem, let's assign a variable to represent the unknown number. Let's call it "a". According to the problem statement, the sum of two times the number and 16 is equal to five times the difference of the number and six. Mathematically, this can be written as: 2a + 16 = 5(a - 6) To solve for a, we can start by simplifying the equation: 2a + 16 = 5a - 30 Next, let's isolate the variable a on one side of the equation. We can do this by subtracting 2a from both sides: 16 = 3a - 30 To further isolate a, let's add 30 to both sides of the equation: 16 + 30 = 3a 46 = 3a Finally, we can solve for a by dividing both sides of the equation by 3: a = 46/3 So, the value of the unknown number is approximately 15.33.