Combine like terms to create an equivalent expression. 7.4 z-5(-1.6 z+2.4)

Distribute -5 across terms: Distribute the -5 across the terms inside the parentheses. We need to multiply -5 by each term inside the parentheses (-1.6z and +2.4). Calculation: -5 * -1.6z = 8z and -5 * 2.4 = -12Rewrite expression with distributed terms: Rewrite the expression with the distributed terms. Replace the terms inside the parentheses with the results from Step 1. Expression: 7.4z + 8z - 12Combine like terms: Combine like terms, which are 7.4z and 8z. Add the coefficients of z together. Calculation: 7.4z + 8z = 15.4zWrite final simplified expression: Write the final simplified expression. Combine the result from Step 3 with the constant term from Step 2. Expression: 15.4z - 12

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Combine like terms to create an equivalent expression.

7.4 z-5(-1.6 z+2.4)

Combine like terms to create an equivalent expression. $\newline$ $7.4 z-5(-1.6 z+2.4)$

View step-by-step help

Home

Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Combine like terms to create an equivalent expression.

\newline

7.4 z-5(-1.6 z+2.4)

Distribute $-5$ across terms: Distribute the $-5$ across the terms inside the parentheses. $\newline$ We need to multiply $-5$ by each term inside the parentheses $-1.6z$ and $+2.4$ . $\newline$ Calculation: $-5 \times -1.6z = 8z$ and $-5 \times 2.4 = -12$
Rewrite expression with distributed terms: Rewrite the expression with the distributed terms. $\newline$ Replace the terms inside the parentheses with the results from Step $1$ . $\newline$ Expression: $7.4z + 8z - 12$
Combine like terms: Combine like terms, which are $7.4z$ and $8z$ . Add the coefficients of $z$ together. Calculation: $7.4z + 8z = 15.4z$
Write final simplified expression: Write the final simplified expression. $\newline$ Combine the result from Step $3$ with the constant term from Step $2$ . $\newline$ Expression: $15.4z - 12$