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7(t-5)+7t=7(2t+2)-13
We simplify the equation to the form, which is simple to understand
7(t-5)+7t=7(2t+2)-13
Reorder the terms in parentheses
+(+7t-35)+7t=7*(2t+2)-13
Remove unnecessary parentheses
+7t-35+7t=+7+*(+2t+2+)-13
Reorder the terms in parentheses
+7t-35+7t=+(+14t+14)-13
Remove unnecessary parentheses
+7t-35+7t=+14t+14-13
We move all terms containing t to the left and all other terms to the right.
+7t+7t-14t=+14-13+35
We simplify left and right side of the equation.
t=+36
0=36
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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