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:

Solved Multiply and simplify(2t-2)(3t+7)+3t-7Question | Chegg.com

Image Gallery

Solved Multiply and simplify(2t-2)(3t+7)+3t-7Question | Chegg.com
2.1. b(v), for v = 3T 1 T 2 − 4T 3 1 + T 1 T 2 2 ; handles are shown ...
Solved If r(t) = (4t, 3t^2, 4t^3), find r'(t), T(1), r"(t), | Chegg.com
[ANSWERED] If f t t 6t 6 4t 2 4t 3 find f t - Kunduz
Solved Consider the line L(t)=(:2-4t,-3-4t,3-t:). Then:L | Chegg.com

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

Fidelity Pepsico Explained: The Secrets Behind Its Massive Market Dominance!
Behind the Numbers: Fidelity Pepsicos Hidden Tactics That Define Shopping Trends Today!
Unlock Your Savings: How Much Can US Government Securities Cover Your Income at Max Fidelity Percentages?

🔗 Related Articles You Might Like:

📰 daily mail news england 📰 i took a pill to ibiza 📰 karma credit 📰 Solve 25 088U 15 8197058 📰 Loud Horn Sound 5054257 📰 Upgrade Safari On Imac 4015874 📰 A Geospatial Ai System Labels Ecosystems In 200 Grid Cells Initially It Correctly Identifies 88 Of Cells After Model Refinement Accuracy Improves To 95 How Many Additional Cells Are Correctly Classified 9140535 📰 Current Time In New York City 8542544 📰 Idaho Maximum Security Institution 7852425 📰 Ipad Anyconnect 4930203 📰 Best Apps For Your Macbook 9252836 📰 Plty Dividend Secrets How To Make Passive Income That Keeps Growing 2539725 📰 Water Bow Roblox Id 1155641 📰 This Sex Chocolate Tab Is Taking Pleasure To A Whole New Levelwatch Now 8526037 📰 Brown Wallpaper The Hidden Feature That Every Interior Designer Hates To Criticize 9570706 📰 Natures Fury Oblivion 4230784 📰 Zoe Laverne 796256 📰 The Creepy Maze That No One Dares Enterdiscover Its Terrifying Truth 4876826

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:

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