Question

How do you solve `4=4(k+3)` using the distributive property?

Answer 1

k = - 2

Explanation:

The distributive property means multiplying the terms inside the bracket by 4.

`rArr4=color(red)(4)(k+3)=4k+12`

we now have to solve 4k+ 12 = 4

subtract 12 from both sides of the equation.

`rArr4k+12cancel(-12)=4-12`

That is : 4k = - 8

divide both sides by 4.

`rArr(cancel(4)^1 k)/cancel(4)^1=cancel(-8)^(-2)/cancel(4)^1rArrk=-2`