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Let the unknown number be x:

1/6x-2 = 1/4x+1

Multiply all terms by 12 in order to eliminate the fractions:

2x-24 = 3x+12

2x-3x = 12+24

-x = 36

x = -36

Check that your answer is correct by substituting the value of x into the original equation: -8 = -8

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