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].