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3(t-4)+7t=5(2t+3)-13
We simplify the equation to the form, which is simple to understand
3(t-4)+7t=5(2t+3)-13
Reorder the terms in parentheses
+(+3t-12)+7t=5*(2t+3)-13
Remove unnecessary parentheses
+3t-12+7t=+5+*(+2t+3+)-13
Reorder the terms in parentheses
+3t-12+7t=+(+10t+15)-13
Remove unnecessary parentheses
+3t-12+7t=+10t+15-13
We move all terms containing t to the left and all other terms to the right.
+3t+7t-10t=+15-13+12
We simplify left and right side of the equation.
t=+14
0=14
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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