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3+4(3t-1)+5(1-3t)=10-6t
We simplify the equation to the form, which is simple to understand
3+4(3t-1)+5(1-3t)=10-6t
Reorder the terms in parentheses
3+(+12t-4)+5*(1-3t)=10-6t
Remove unnecessary parentheses
+3+12t-4+5+*(+1-3t+)=+10-6t
Reorder the terms in parentheses
3+12t-4+(+5-15t)=10-6t
Remove unnecessary parentheses
+3+12t-4+5-15t=+10-6t
We move all terms containing t to the left and all other terms to the right.
+12t-15t+6t=+10-3+4-5
We simplify left and right side of the equation.
+3t=+6
We divide both sides of the equation by 3 to get t.
t=2
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