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7(t-5)+5t=4(3t+4)-8
We simplify the equation to the form, which is simple to understand
7(t-5)+5t=4(3t+4)-8
Reorder the terms in parentheses
+(+7t-35)+5t=4*(3t+4)-8
Remove unnecessary parentheses
+7t-35+5t=+4+*(+3t+4+)-8
Reorder the terms in parentheses
+7t-35+5t=+(+12t+16)-8
Remove unnecessary parentheses
+7t-35+5t=+12t+16-8
We move all terms containing t to the left and all other terms to the right.
+7t+5t-12t=+16-8+35
We simplify left and right side of the equation.
t=+43
0=43
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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