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3(t-4)-5(5t-7)=16-8(6t+1)
We simplify the equation to the form, which is simple to understand
3(t-4)-5(5t-7)=16-8(6t+1)
Reorder the terms in parentheses
+(+3t-12)-5*(5t-7)=16-8*(6t+1)
Remove unnecessary parentheses
+3t-12-5+*(+5t-7+)=+16-8+*(+6t+1+)
Reorder the terms in parentheses
+3t-12+(-25t+35)=16-8*(6t+1)
Remove unnecessary parentheses
+3t-12-25t+35=+16-8+*(+6t+1+)
Reorder the terms in parentheses
+3t-12-25t+35=16+(-48t-8)
Remove unnecessary parentheses
+3t-12-25t+35=+16-48t-8
We move all terms containing t to the left and all other terms to the right.
+3t-25t+48t=+16-8+12-35
We simplify left and right side of the equation.
+26t=-15
We divide both sides of the equation by 26 to get t.
t=-0.576923076923
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