Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 27, 2023

Simplify the expression $-8(z+1)+2(z+4)$ using the distributive property and combining like terms.

STEP 1

Assumptions1. We are given the expression $-8(z+1)+(z+4)$ . We need to simplify this expression using the distributive property and combining like terms

STEP 2

The distributive property states that for all real numbers a, b, and c $a(b+c) = ab + ac$ . We can apply this property to the given expression.
$-8(z+1)+2(z+4) = -8z -8 +2z +8$

STEP 3

Now, we combine like terms. Like terms are terms that contain the same variables raised to the same power. In this case, the like terms are $-8z$ and $2z$ , and $-8$ and $8$ .
$-8z -8 +2z +8 = -6z +0$

STEP 4

implify the expression by removing the "+0".
$-6z +0 = -6z$ The simplified form of the given expression is $-6z$ .

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms