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8(t+2)-3(-4)=6(t-7)+8
We simplify the equation to the form, which is simple to understand
8(t+2)-3(-4)=6(t-7)+8
Reorder the terms in parentheses
+(+8t+16)-3*(-4)=6*(t-7)+8
Remove unnecessary parentheses
+8t+16-3+*(-4+)=+6+*(+t-7+)+8
Reorder the terms in parentheses
+8t+16+(+12)=6*(t-7)+8
Remove unnecessary parentheses
+8t+16+12=+6+*(+t-7+)+8
Reorder the terms in parentheses
+8t+16+12=+(+6t-42)+8
Remove unnecessary parentheses
+8t+16+12=+6t-42+8
We move all terms containing t to the left and all other terms to the right.
+8t-6t=-42+8-16-12
We simplify left and right side of the equation.
+2t=-62
We divide both sides of the equation by 2 to get t.
t=-31
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