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(2t-8)-1/2(9-4t)+5/2=0
We simplify the equation to the form, which is simple to understand
(2t-8)-1/2(9-4t)+5/2=0
Simplifying:
(2t-8)-0.5*(9-4t)+5/2=0
Simplifying:
(2t-8)-0.5*(9-4t)+2.5=0
Remove unnecessary parentheses
2t-8-0.5*(9-4t)+2.5=0
Reorder the terms in parentheses
2t-8+(-4.5+2t)+2.5=0
Remove unnecessary parentheses
+2t-8-4.5+2t+2.5=0
We move all terms containing t to the left and all other terms to the right.
+2t+2t=0+8+4.5-2.5
We simplify left and right side of the equation.
+4t=+10
We divide both sides of the equation by 4 to get t.
t=2.5
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