# Which equation represents "the sum of eight times a number and seven is twice the number"?

8(7 + 2N)

8N = 7 + 2N.

7N + 8 = 2N

8N + 7 = 2N

**Solution:**

Given, the sum of eight times a number and seven is twice the number.

Let the number be N.

Now, eight times a number = 8N

Sum of eight times a number and seven = 8N + 7

Twice the number = 2N

The expression can be written as 8N + 7 = 2N.

Therefore, 8N + 7 = 2N represents the equation.

**Example - **

Which equation represents "the sum of three times a number and six is thrice the number"?

**Solution:**

Given, the sum of three times a number and six is thrice the number

Let the number be N.

Now, three times a number = 3N

Sum of three times a number and six = 3N + 6

Thrice the number = 3N

The expression can be written as 3N + 6 = 3N.

Therefore, 3N + 6 = 3N represents the equation.

## Which equation represents "the sum of eight times a number and seven is twice the number"?

**Summary:**

The equation 8N + 7 = 2N represents "the sum of eight times a number and seven is twice the number".

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