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Solve the equation (4t)/(9) − 5 = 3 for t and identify the correct option.

May 7, 2026Mathematics

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Answer

\text{D}

Step-by-step solution

4 steps

Add 5 to both sides of the equation to isolate the term with $t$ .
$\frac{4t}{9} - 5 = 3$ $\frac{4t}{9} = 3 + 5$ $\frac{4t}{9} = 8$
Multiply both sides by 9 to eliminate the denominator.
$4t = 8 \times 9$ $4t = 72$
Divide both sides by 4 to solve for $t$ .
$t = \frac{72}{4}$ $t = 18$
Compare the result with the given options.
The calculated value $t=18$ corresponds to option D.

The final answer is $\text{D}$ .

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