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2(t-5)-3(2t-1)=16-5(3t+5)
We simplify the equation to the form, which is simple to understand
2(t-5)-3(2t-1)=16-5(3t+5)
Reorder the terms in parentheses
+(+2t-10)-3*(2t-1)=16-5*(3t+5)
Remove unnecessary parentheses
+2t-10-3+*(+2t-1+)=+16-5+*(+3t+5+)
Reorder the terms in parentheses
+2t-10+(-6t+3)=16-5*(3t+5)
Remove unnecessary parentheses
+2t-10-6t+3=+16-5+*(+3t+5+)
Reorder the terms in parentheses
+2t-10-6t+3=16+(-15t-25)
Remove unnecessary parentheses
+2t-10-6t+3=+16-15t-25
We move all terms containing t to the left and all other terms to the right.
+2t-6t+15t=+16-25+10-3
We simplify left and right side of the equation.
+11t=-2
We divide both sides of the equation by 11 to get t.
t=-0.18181818181818
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