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10(1/2)+14(5/8)+17(3/4)+16(1/4)=0
We simplify the equation to the form, which is simple to understand
10(1/2)+14(5/8)+17(3/4)+16(1/4)=0
Reorder the terms in parentheses
+(+5)+14*( + 0.625)+17*( + 0.75)+16*( + 0.25)=0
Remove unnecessary parentheses
+5+14+*( + 0.625+)+17+*( + 0.75+)+16+*( + 0.25+)=0
Reorder the terms in parentheses
+5+(+8.75)+17*( + 0.75)+16*( + 0.25)=0
Remove unnecessary parentheses
+5+8.75+17+*( + 0.75+)+16+*( + 0.25+)=0
Reorder the terms in parentheses
+5+8.75+(+12.75)+16*( + 0.25)=0
Remove unnecessary parentheses
+5+8.75+12.75+16+*( + 0.25+)=0
Reorder the terms in parentheses
+5+8.75+12.75+(+4)=0
Remove unnecessary parentheses
+5+8.75+12.75+4=0
We move all terms containing to the left and all other terms to the right.
0=0-5-8.75-12.75-4
We simplify left and right side of the equation.
0=-30.5
0=-30.5
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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