Rewrite in simplest terms: 0.1(-3y-7z)-z-0.2(-7z+4y) Answer:

Distribute terms in parentheses: First, distribute 0.1 into the terms inside the first set of parentheses, and distribute -0.2 into the terms inside the second set of parentheses. 0.1(-3y) + 0.1(-7z) - z - 0.2(-7z) - 0.2(4y)Perform multiplication for each term: Now, perform the multiplication for each term. -0.3y - 0.7z - z + 1.4z - 0.8yCombine like terms: Combine like terms. The terms -0.7z and 1.4z can be combined, as well as -0.3y and -0.8y. The term -z is also like the z terms and should be combined with them. (-0.3y - 0.8y) + (-0.7z - z + 1.4z)Add coefficients of like terms: Add the coefficients of the like terms. -1.1y + (-0.7z - z + 1.4z)Continue combining z terms: Continue combining the z terms. Remember that -z is the same as -1z. -1.1y + (-0.7 - 1 + 1.4)zAdd coefficients of z terms: Add the coefficients of the z terms. -1.1y + (-0.3)zWrite final simplified expression: Write the final simplified expression. -1.1y - 0.3z

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Rewrite in simplest terms:
0.1(-3y-7z)-z-0.2(-7z+4y)
Answer:

Rewrite in simplest terms: $0.1(-3 y-7 z)-z-0.2(-7 z+4 y)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Write variable expressions for arithmetic sequences

Full solution

Q. Rewrite in simplest terms:

0.1(-3 y-7 z)-z-0.2(-7 z+4 y)

\newline

Answer:

Distribute terms in parentheses: First, distribute $0.1$ into the terms inside the first set of parentheses, and distribute $-0.2$ into the terms inside the second set of parentheses. $\newline$ $0.1(-3y) + 0.1(-7z) - z - 0.2(-7z) - 0.2(4y)$
Perform multiplication for each term: Now, perform the multiplication for each term. $\newline$ $-0.3y - 0.7z - z + 1.4z - 0.8y$
Combine like terms: Combine like terms. The terms $-0.7z$ and $1.4z$ can be combined, as well as $-0.3y$ and $-0.8y$ . The term $-z$ is also like the $z$ terms and should be combined with them. $\newline$ $(-0.3y - 0.8y) + (-0.7z - z + 1.4z)$
Add coefficients of like terms: Add the coefficients of the like terms. $-1.1y + (-0.7z - z + 1.4z)$
Continue combining z terms: Continue combining the z terms. Remember that $-z$ is the same as $-1z$ . $-1.1y + (-0.7 - 1 + 1.4)z$
Add coefficients of z terms: Add the coefficients of the z terms. $\newline$ $-1.1y + (-0.3)z$
Write final simplified expression: Write the final simplified expression. $\newline$ $-1.1y - 0.3z$