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.5(2t/3-7)=(.5*2t/3)-7
We simplify the equation to the form, which is simple to understand
.5(2t/3-7)=(.5*2t/3)-7
Reorder the terms in parentheses
+( + 0.33333333333333t-3.5)=(.5*0.66666666666667t)-7
Remove unnecessary parentheses
+ 0.33333333333333t-3.5=+(.5+*0.66666666666667t+)-7
We move all terms containing t to the left and all other terms to the right.
+ 0.33333333333333t-0.66666666666667t=0-7+3.5
We simplify left and right side of the equation.
-0.33333333333334t=-3.5
We divide both sides of the equation by -0.33333333333334 to get t.
t=10.5
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