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The sum of a negative number 1/4 of the negative number and 7/16 of the negative number is -13 1/2. what is the negative number?

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x - the number

[tex]x+\frac{1}{4}x+\frac{7}{16}x=-13 \frac{1}{2} \\ \\ \frac{16}{16}x+\frac{4}{16}x+\frac{7}{16}x=-\frac{13 \times 2+1}{2} \\ \\ \frac{16+4+7}{16}x=-\frac{27}{2} \\ \\ \frac{27}{16}x=-\frac{27}{2} \\ \\ x=-\frac{27}{2} \times \frac{16}{27} \\ \\ x=-\frac{16}{2} \times \frac{27}{27} \\ \\ x=-8 \times 1 \\ \\ x=-8 [/tex]

The number is -8.
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