How do you use the distributive property to simplify $7(z - 4)$ ?

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Answer 1 · 2018-05-12T19:38:01

$7z-28$

$"each term in the bracket is multiplied by "7$

$rArrcolor(red)(7)(z-4)$

$=(color(red)(7)xxz)+(color(red)(7)xx-4)$

$=7z+(-28)=7z-28$

Answer 2 · 2018-05-12T19:43:27

$7z - 28$

The distributive property is when you take the number outside a set of parentheses and multiply it to all the terms inside the parenthesis.

In this case, $7$ is outside the parentheses, so we multiply it to the terms inside, which would be $z$ and $(-4)$ .

We first multiply $7$ and the $z$

$7 xx z = 7z$

Then we multiply $7$ and $(-4)$

$7 xx (-4) = -28$

And our answer should be

$7z - 28$

How do you use the distributive property to simplify 7(z - 4)7(z - 4)?