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10(t-5)+4t=7(2t+3)-13
We simplify the equation to the form, which is simple to understand
10(t-5)+4t=7(2t+3)-13
Reorder the terms in parentheses
+(+10t-50)+4t=7*(2t+3)-13
Remove unnecessary parentheses
+10t-50+4t=+7+*(+2t+3+)-13
Reorder the terms in parentheses
+10t-50+4t=+(+14t+21)-13
Remove unnecessary parentheses
+10t-50+4t=+14t+21-13
We move all terms containing t to the left and all other terms to the right.
+10t+4t-14t=+21-13+50
We simplify left and right side of the equation.
t=+58
0=58
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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