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Solve the equation 3t - 2 + 4 = t - 7t for t.

 Apr 4, 2021
 #1
avatar+527 
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3t - 2 + 4 = t - 7t

3t + 2 = -6t

9t + 2 = 0

9t = -2

t = \(\frac{-2}{9}\)

 Apr 4, 2021
 #2
avatar+190 
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Hey there, Guest!

 

This equation isn't tough, so I'll walk you through it step-by-step.

 

Step 1: Simplify both sides of the equation

3t−2+4=t−7t

3t+−2+4=t+−7t

(3t)+(−2+4)=(t+−7t)(Combine Like Terms)

3t+2=−6t

3t+2=−6t

 

Step 2: Add 6t to both sides.

3t+2+6t=−6t+6t

9t+2=0

 

Step 3: Subtract 2 from both sides.

9t+2−2=0−2

9t=−2

 

Step 4: Divide both sides by 9.

\(9t/9 = −2/9 \)

\(t= −2/9 \)

 

And as you can see, t equals \(-2/9\).

 

Hope this helped! :)

( ゚д゚)つ Bye

 Apr 4, 2021

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