Simplify the expression: 7z + -2 + -4 + -3z ____

Identify Like Terms: Identify like terms in the expression 7z + -2 + -4 + -3z. Like terms are terms that contain the same variable raised to the same power. Here, 7z and -3z are like terms, while -2 and -4 are like terms.Combine Like Terms 7z and -3z: Combine the like terms 7z and -3z. 7z + -3z = 4z This simplifies the variable part of the expression.Combine Like Terms -2 and -4: Combine the like terms -2 and -4. -2 + -4 = -6 This simplifies the constant part of the expression.Write Simplified Expression: Write the simplified expression by combining the results from Step 2 and Step 3. The simplified expression is 4z + (-6), which can be written as 4z - 6.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify the expression: $\newline$ $7z + -2 + -4 + -3z$

View step-by-step help

Home

Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify the expression:

\newline

7z + -2 + -4 + -3z

Identify Like Terms: Identify like terms in the expression $7z + -2 + -4 + -3z$ . Like terms are terms that contain the same variable raised to the same power. Here, $7z$ and $-3z$ are like terms, while $-2$ and $-4$ are like terms.
Combine Like Terms $7z$ and $-3z$ : Combine the like terms $7z$ and $-3z$ . $7z + (-3z) = 4z$ This simplifies the variable part of the expression.
Combine Like Terms $-2$ and $-4$ : Combine the like terms $-2$ and $-4$ . $-2 + -4 = -6$ This simplifies the constant part of the expression.
Write Simplified Expression: Write the simplified expression by combining the results from Step $2$ and Step $3$ . $\newline$ The simplified expression is $4z + (-6)$ , which can be written as $4z - 6$ .