The value of the number is -9/10.
Let the number be x
Two times the quantity of eight times a number plus two will be written as:
= 2(8 × x) + 2
= 2(8x) + 2 = 16x + 2
Three times the quantity of two times the same number minus 7 will be written as:
= 3(2 × x) - 7
= 3(2x) - 7 = 6x - 7
We will equate both values and this will be:
16x + 2 = 6x - 7
Collect like terms
16x - 6x = -2 - 7
10x = -9
x = -9/10
In conclusion, the value of the number is -9/10.
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