Answered

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-5(t + 3)= -30
Solve for the variable!! Please

Sagot :

gmany

Answer:

[tex]\huge\boxed{t=3}[/tex]

Step-by-step explanation:

[tex]-5(t+3)=-30[/tex]

METHOD 1:

[tex]-5(t+3)=-30[/tex]    divide both sides by (-5)

[tex]\dfrac{-5\!\!\!\!\diagup(t+3)}{-5\!\!\!\!\diagup}=\dfrac{-30}{-5}[/tex]

[tex]t+3=6[/tex]       subtract 3 from both sides

[tex]t+3-3=6-3\\t=3[/tex]

METHOD 2:

[tex]-5(t+3)=-30[/tex]       use the distributive property a(b + c) = ab + ac

[tex](-5)(t)+(-5)(3)=-30[/tex]

[tex]-5t-15=-30[/tex]     add 15 to both sides

[tex]-5t-15+15=-30+15[/tex]

[tex]-5t=-15[/tex]         divide both sides by (-5)

[tex]\dfrac{-5t}{-5}=\dfrac{-15}{-5}\\\\t=3[/tex]

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