Question

What is the answer to 5(n-7)=2(n+14) work

Answer 1

The answer is n=21.

Explanation:

To solve the equation for (n), start by using the distributive property on both sides of the equation. The distributive property is multiplying the sum of two or more addends by a number which will give the same result as multiplying each addend individually by the number and then adding the products together.

The equation will look like
`5n-35=2n+28` after using the distributive property. Next, add 35 to both sides of the equation, which will look like
`5n=2n+63`, and then subtract (2n) from both sides of the equation, which will look like
`3n=63`. The next step is to simplify the equation, which will look like
`n=21`, and the final answer to the equation will be
`n=21`.

Answer 2

n = 21

Explanation:

5(n-7)=2(n+14)

Distribute

5n -35 = 2n+28

Subtract 2n from each side

5n-2n -35 = 2n-2n +28

3n-35 =28

Add 35 to each side

3n-35+35 = 28+35

3n = 63

Divide by 3

3n/3 = 63/3

n =21