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# In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11

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In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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19 Oct 2017, 11:47
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In the fllowing equation, what is the value of n ? $$\frac{3(n + 4) - 8}{5}$$ = $$\frac{11 - (6 - 2n)}{2}$$

A. -$$\frac{33}{4}$$
B. -$$\frac{17}{4}$$
C. $$\frac{17}{4}$$
D. $$\frac{17}{16}$$
E. $$\frac{33}{16}$$
[Reveal] Spoiler: OA

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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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19 Oct 2017, 13:30
In the fllowing equation, what is the value of n ? $$\frac{3(n + 4) - 8}{5}$$ = $$\frac{11 - (6 - 2n)}{2}$$

A. -$$\frac{33}{4}$$
B. -$$\frac{17}{4}$$
C. $$\frac{17}{4}$$
D. $$\frac{17}{16}$$
E. $$\frac{33}{16}$$

$$2[3(n + 4) - 8]$$$$=5[11 - (6 - 2n)]$$

$$6n+8=10n+25$$

or $$n =-\frac{17}{4}$$

Option B

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Senior Manager
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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11 [#permalink]

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20 Oct 2017, 11:29
$$\frac{{3(n+4)−8}}{5}$$ = $$\frac{{11−(6−2n)}}{2}$$
$$\frac{{3n+12-8}}{5}$$=$$\frac{{11-6+2n}}{2}$$
$$\frac{{3n+4}}{5}$$=$$\frac{{5+2n}}{2}$$
6n+8=25+10n
4n=-17
n=$$\frac{-17}{4}$$

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Re: In the fllowing equation, what is the value of n ? 3(n + 4) - 8/5 = 11   [#permalink] 20 Oct 2017, 11:29
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