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10(t-4)+5t=5(3t+5)-10
We simplify the equation to the form, which is simple to understand
10(t-4)+5t=5(3t+5)-10
Reorder the terms in parentheses
+(+10t-40)+5t=5*(3t+5)-10
Remove unnecessary parentheses
+10t-40+5t=+5+*(+3t+5+)-10
Reorder the terms in parentheses
+10t-40+5t=+(+15t+25)-10
Remove unnecessary parentheses
+10t-40+5t=+15t+25-10
We move all terms containing t to the left and all other terms to the right.
+10t+5t-15t=+25-10+40
We simplify left and right side of the equation.
t=+55
0=55
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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