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3(t-5)+7t=5(2t+5)-10
We simplify the equation to the form, which is simple to understand
3(t-5)+7t=5(2t+5)-10
Reorder the terms in parentheses
+(+3t-15)+7t=5*(2t+5)-10
Remove unnecessary parentheses
+3t-15+7t=+5+*(+2t+5+)-10
Reorder the terms in parentheses
+3t-15+7t=+(+10t+25)-10
Remove unnecessary parentheses
+3t-15+7t=+10t+25-10
We move all terms containing t to the left and all other terms to the right.
+3t+7t-10t=+25-10+15
We simplify left and right side of the equation.
t=+30
0=30
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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