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2.65=.05(n)+.10(n+1)+.25(n-1)
We simplify the equation to the form, which is simple to understand
2.65=.05(n)+.10(n+1)+.25(n-1)
Reorder the terms in parentheses
2.65=+( + 0.05n)+.10*(n+1)+.25*(n-1)
Remove unnecessary parentheses
+2.65=0.05n+.10+*(+n+1+)+.25+*(+n-1+)
Reorder the terms in parentheses
2.65=0.05n+( + 0.1n + 0.1)+.25*(n-1)
Remove unnecessary parentheses
+2.65=0.05n + 0.1n + 0.1+.25+*(+n-1+)
Reorder the terms in parentheses
2.65=0.05n + 0.1n + 0.1+( + 0.25n-0.25)
Remove unnecessary parentheses
+2.65=0.05n + 0.1n + 0.1 + 0.25n-0.25
We move all terms containing n to the left and all other terms to the right.
-0.05n-0.1n-0.25n=0.1-0.25-2.65
We simplify left and right side of the equation.
-0.4n=-2.8
We divide both sides of the equation by -0.4 to get n.
n=7
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