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3.65=.65(3d)+.25(20-3d-d)+.50(d)
We simplify the equation to the form, which is simple to understand
3.65=.65(3d)+.25(20-3d-d)+.50(d)
Simplifying terms in parentheses
3.65=.65*(3d)+.25*(+20-4d)+.50*(d)
Reorder the terms in parentheses
3.65=+(+1.95d)+.25*(+20-4d)+.50*(d)
Remove unnecessary parentheses
+3.65=+1.95d+.25+*(+20-4d+)+.50+*(+d+)
Reorder the terms in parentheses
3.65=+1.95d+(+5-1d)+.50*(d)
Remove unnecessary parentheses
+3.65=+1.95d+5-1d+.50+*(+d+)
Reorder the terms in parentheses
3.65=+1.95d+5-1d+( + 0.5d)
Remove unnecessary parentheses
+3.65=+1.95d+5-1d + 0.5d
We move all terms containing d to the left and all other terms to the right.
-1.95d+1d-0.5d=+5-3.65
We simplify left and right side of the equation.
-1.45d=+1.35
We divide both sides of the equation by -1.45 to get d.
d=-0.931034482759
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