Respuesta :

2(2t + 4) = 34(24 − 8t)
4t + 8 = 816 - 272t
4t + 272t = 816 - 8
276t = 808
t = 808/276
= 2.93 (to three significant figures)

The value of t is 2.93.

Answer:

[tex]t=\frac{202}{69}[/tex]

Step-by-step explanation:

[tex]2(2t+4)=34(24-8t)[/tex]

Solve the equation for t

Distribute the number inside the parenthesis

[tex]2(2t+4)=34(24-8t)[/tex]

[tex]4t+8=816-272t[/tex]

Add 272t on both sides

[tex]276t+8=816[/tex]

Subtract 8 on both sides

[tex]276t=808[/tex]

Divide both sides by 276

[tex]t=\frac{202}{69}[/tex]

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