Solve for t
t = \frac{128}{57} = 2\frac{14}{57} \approx 2.245614035
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-3\times 3t=-4\left(32-12t\right)
Variable t cannot be equal to 8 since division by zero is not defined. Multiply both sides of the equation by 12\left(t-8\right), the least common multiple of 32-4t,24-3t.
-9t=-4\left(32-12t\right)
Multiply -3 and 3 to get -9.
-9t=-128+48t
Use the distributive property to multiply -4 by 32-12t.
-9t-48t=-128
Subtract 48t from both sides.
-57t=-128
Combine -9t and -48t to get -57t.
t=\frac{-128}{-57}
Divide both sides by -57.
t=\frac{128}{57}
Fraction \frac{-128}{-57} can be simplified to \frac{128}{57} by removing the negative sign from both the numerator and the denominator.
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