The number is 15
The difference of a number and eight is tripled, then the result is six more than the number.
Therefore, the number will be represented by a variable
let the number = x
Hence,
3(x - 8) = x + 6
Therefore, let's open the bracket
3(x - 8) = x + 6
3x - 24 = x + 6
subtract x from both sides of the equation
3x - 24 = x + 6
3x - x - 24 = x - x + 6
2x - 24 = 6
add 24 to both sides of the equation
2x - 24 + 24 = 6 + 24
2x = 30
divide both sides by 2
x = 30 / 2
x = 15
Therefore, the number is 15
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