Hello there!
An equation to model the number is: n - 7 x 2 = 2
To find the equation, break apart the question.
twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2
twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.
twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.
The value of the number based on the information given is 8.
Let the number be represented by x.
Since we are given the equation that twice the difference of a number and 7 equals 2, the equation to solve this will be:
2(x - 7) = 2
2x - 14 = 2
2x = 2 + 14
2x = 16
x = 16/2
x = 8
The value of the number is 8
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