Solve the following equation 28 = 4 + 3(t + 5)

To solve the equation \(28 = 4 + 3(t + 5)\), follow these steps:

Step 1: Simplify the Equation

Start by distributing the 3 on the right side:

• 3(t + 5) becomes 3t + 15.

This changes the equation to:

28 = 4 + 3t + 15

Step 2: Combine Like Terms

Now, combine the constants on the right side:

• 4 + 15 equals 19.

The equation now looks like:

28 = 3t + 19

Step 3: Isolate the Variable

Next, subtract 19 from both sides to isolate the term with t:

28 - 19 = 3t

This simplifies to:

9 = 3t

Step 4: Solve for t

Finally, divide both sides by 3:

t = 9 / 3

This gives:

t = 3

Final Answer

The solution to the equation is t = 3.