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Step-by-step Solution

Solve the equation $\frac{3t-7}{8}=\frac{8-9t}{7}$

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Answer

$t=1.2151$

Step-by-step explanation

Problem to solve:

$\frac{3t-7}{8}=\frac{8-9t}{7}$
1

Apply fraction cross-multiplication

$7\left(3t-7\right)=8\left(8-9t\right)$
2

Solve the product $8\left(8-9t\right)$

$7\cdot 3t+7-7=8\cdot 8+8-9t$

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Answer

$t=1.2151$
$\frac{3t-7}{8}=\frac{8-9t}{7}$

Main topic:

Equations

Time to solve it:

~ 0.03 seconds