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7(t-6)+8t=5(3t+5)-13
We simplify the equation to the form, which is simple to understand
7(t-6)+8t=5(3t+5)-13
Reorder the terms in parentheses
+(+7t-42)+8t=5*(3t+5)-13
Remove unnecessary parentheses
+7t-42+8t=+5+*(+3t+5+)-13
Reorder the terms in parentheses
+7t-42+8t=+(+15t+25)-13
Remove unnecessary parentheses
+7t-42+8t=+15t+25-13
We move all terms containing t to the left and all other terms to the right.
+7t+8t-15t=+25-13+42
We simplify left and right side of the equation.
t=+54
0=54
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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