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5/6(t-9)+3/4(t-1)=-13
We simplify the equation to the form, which is simple to understand
5/6(t-9)+3/4(t-1)=-13
Simplifying:
+ 0.833333333333*(t-9)+3/4*(t-1)=-13
Simplifying:
+ 0.833333333333*(t-9) + 0.75*(t-1)=-13
Reorder the terms in parentheses
+( + 0.833333333333t-7.5) + 0.75*(t-1)=-13
Remove unnecessary parentheses
+ 0.833333333333t-7.5 + 0.75+*(+t-1+)=-13
Reorder the terms in parentheses
+ 0.833333333333t-7.5+( + 0.75t-0.75)=-13
Remove unnecessary parentheses
+ 0.833333333333t-7.5 + 0.75t-0.75=-13
We move all terms containing t to the left and all other terms to the right.
+ 0.833333333333t + 0.75t=-13+7.5 + 0.75
We simplify left and right side of the equation.
+1.58333333333t=-4.75
We divide both sides of the equation by 1.58333333333 to get t.
t=-3
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