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7(t-6)+3t=5(2t+4)-12
We simplify the equation to the form, which is simple to understand
7(t-6)+3t=5(2t+4)-12
Reorder the terms in parentheses
+(+7t-42)+3t=5*(2t+4)-12
Remove unnecessary parentheses
+7t-42+3t=+5+*(+2t+4+)-12
Reorder the terms in parentheses
+7t-42+3t=+(+10t+20)-12
Remove unnecessary parentheses
+7t-42+3t=+10t+20-12
We move all terms containing t to the left and all other terms to the right.
+7t+3t-10t=+20-12+42
We simplify left and right side of the equation.
t=+50
0=50
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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