Respuesta :

Answer:

[tex]\boxed {t = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]t[/tex]:

[tex]5t + 16 = 6 - 5t[/tex]

-Take [tex]5t[/tex] and add to [tex]5t[/tex]:

[tex]5t + 16 + 5t = 6 - 5t + 5t[/tex]

[tex]10t + 16 = 6[/tex]

-Subtract [tex]16[/tex] to both sides:

[tex]10t + 16 - 16 = 6 - 16[/tex]

[tex]10t = -10[/tex]

-Divide both sides by [tex]10[/tex]:

[tex]\frac{10t}{10} = \frac{-10}{10}[/tex]

[tex]\boxed {t = -1}[/tex]

So, the value of [tex]t[/tex] is [tex]-1[/tex].