Can someone please help me with this? I'm not looking for the answer, just a detailed explanation on how to solve this.

Thank you in advance.

Solve: 16(t - 1) + 10 > 8(t +2) + 4(t - 1) + 4t

Get rid of the parentheses and combine terms, e.g., 16(t-1) = 16t-16. Once this is done, combine like terms and put the x terms on one side of the inequality.

That makes more sense. Thank you!

Sure, I can help you with that.

To solve the given equation: 16(t - 1) + 10 > 8(t + 2) + 4(t - 1) + 4t

Step 1: Distribute the terms on both sides of the equation
On the left side, distribute the 16 to (t - 1): 16t - 16 + 10 > 8(t + 2) + 4(t - 1) + 4t

So, the left side of the equation becomes 16t - 6.

On the right side, distribute the 8 to (t + 2): 8t + 16
Also, distribute the 4 to (t - 1): 4t - 4

So, the right side of the equation becomes 8t + 16 + 4t - 4 + 4t.

Simplifying the right side further, we get: 16t + 12

Now, our equation is: 16t - 6 > 16t + 12

Step 2: Collect like terms
In this equation, we have 16t on both sides, which means it cancels out.

So, we are left with: -6 > 12

Step 3: Solve for the variable
Since -6 is not greater than 12, this inequality is not true. Therefore, there is no solution for the given equation.

So, the solution is an empty set {}.

Remember to double-check your work and make sure you haven't made any calculation errors along the way.