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

vino cappuccino brookfield
places that deliver near me late
slaps bbq kansas city

🔗 Related Articles You Might Like:

📰 tales of wedding rings 📰 tales of xillia 📰 tales of zestiria 📰 Add Shortcuts Word 4934115 📰 This Simple Hack Lets You Add A Watermark In Word And Protect Your Content Instantly 2303371 📰 Dies Not What You Thinkhidden Truth In This Witn News Coverage Books The Shocking Details 1890452 📰 Whats Really Inside The Secret Heatwave Timelines No One Talks About 88214 📰 Sacramento Kings Trade Rumors 3743021 📰 What Is An Authenticator App 5881963 📰 Star Conflict 9284360 📰 This Shaggy 2 Dope Moment Is So Fire Its Going Viral Tonightdont Miss It 1235344 📰 Unlock Max Space The Hidden Secret Of Corner Cabinet Storage You Wont Believe 996249 📰 Banco Off America 4872586 📰 These Stocks Are Ripping Todaywhats Causing The Wild Volatility 5541331 📰 30 Day Fitness Challenge 1789470 📰 Colts Titans 5325143 📰 Is This The Fastest Minecraft Redstone Repeater Hack Ever Dont Miss It 8265583 📰 Brickyard Race Track 2655250

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:

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