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11(t+11)/9=8(t-4)/12
We simplify the equation to the form, which is simple to understand
11(t+11)/9=8(t-4)/12
Reorder the terms in parentheses
+(+11t+121)/9=8*(t-4)/12
Reorder the terms in parentheses
+(+1.2222222222222t+13.444444444444)=8*(t-4)/12
Remove unnecessary parentheses
+1.2222222222222t+13.444444444444=+8+*(+t-4+)+/12
Reorder the terms in parentheses
+1.2222222222222t+13.444444444444=+(+8t-32)/12
Reorder the terms in parentheses
+1.2222222222222t+13.444444444444=+( + 0.66666666666667t-2.6666666666667)
Remove unnecessary parentheses
+1.2222222222222t+13.444444444444=0.66666666666667t-2.6666666666667
We move all terms containing t to the left and all other terms to the right.
+1.2222222222222t-0.66666666666667t=-2.6666666666667-13.444444444444
We simplify left and right side of the equation.
+ 0.55555555555555t=-16.111111111111
We divide both sides of the equation by 0.55555555555555 to get t.
t=-28.999999999999
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