Simplify: How to Solve the Equation $2t + 1 - t + 4 + 3t - 2 = 4t + 3 = 15$ Step-by-Step

Solving equations is a fundamental skill in algebra, and simplifying complex expressions often makes the process clearer and easier. One common equation students encounter is:

$$
2t + 1 - t + 4 + 3t - 2 = 4t + 3 = 15
$$

Understanding the Context

At first glance, this looks daunting, but with careful step-by-step simplification, you can solve for $ t $ efficiently. This article breaks down how to simplify the left-hand side, combine like terms, isolate the variable, and solve the equation.

Step 1: Combine Like Terms on the Left Side

The left side of the equation is:

Simplify: $2t + 1 - t + 4 + 3t - 2 = 4t + 3 = 15$.

Key Insights

$$
2t + 1 - t + 4 + 3t - 2
$$

Group all the terms involving $ t $ and constant terms:

  • Combine $ t $-terms: $ 2t - t + 3t = (2 - 1 + 3)t = 4t $
  • Combine constant terms: $ 1 + 4 - 2 = 3 $

So, the left-hand side simplifies to:

$$
4t + 3
$$

Continue Reading

hoyolab check in
hoyoverse age verification
hoyoverse log in

🔗 Related Articles You Might Like:

📰 Do You Know the Shocking Benefits of Eating Fresh Ichigo? Click to Find Out! 📰 Ichigo Revelation: The Superfood That’s Taking the Internet by Storm (You’ll Want to Try It!) 📰 From Berry to Buzz: The Rising Fame of Ichigo You’re Not Ready For 📰 These Black Black Shorts Are Turning Headsyou Wont Believe How Comfortable They Are 📰 These Black Block Heels Are Taking Over Fashionyou Wont Believe How Chic They Look 📰 These Black Bra Models Are Stealing The Spotlightsee Why Theyre Unmissable 📰 These Black Cargo Pants Are Takenwomen Are Raving Over This Space Timeless Design 📰 These Black Copper Maran Eggs Are Changing How Farmers Feed Their Chickens Forever 📰 These Black Cowboy Boots Are Change Your Outfit Foreverstyle Must Have Alert 📰 These Black Cowboy Boots Are Taking Over Every Red Carpet And Sidewalk 📰 These Black Curtain Rods Are Taking Homes By Storm Dont Miss The Secret To Stunning Softness 📰 These Black Dog Names Are So Stylish Youll Want To Name Every One 📰 These Black Dress Shoes Are Hiding A Secret Thats Blindingly Stylish 📰 These Black Dresses Are Changing How Bridesmaids Shine Heres Your Full Guide 📰 These Black Earrings Will Steal Every Compliment You Get You Wont Believe Which Style Is Hot Right Now 📰 These Black Flare Jeans Are Taking Over Social Mediaget Yours Before Its Gone 📰 These Black Fur Boots Will Transform Your Winter Outfit Overnight 📰 These Black Glasses Are Changing The Way You Looksee Why Everyones Obsessed

Final Thoughts

Thus, the equation becomes:

$$
4t + 3 = 15
$$

Step 2: Isolate the Variable Term

Now, subtract 3 from both sides to eliminate the constant:

$$
4t + 3 - 3 = 15 - 3
$$
$$
4t = 12
$$

Step 3: Solve for $ t $

Divide both sides by 4:

$$
t = rac{12}{4} = 3
$$