Rewrite in simplest terms: -3(-8y-9z)+4z-9(2z+8y) Answer:

Distribute -3: Distribute the -3 across the terms inside the first set of parentheses. -3 * -8y = 24y -3 * -9z = 27z So, the expression becomes 24y + 27z + 4z - 9(2z + 8y).Distribute -9: Distribute the -9 across the terms inside the second set of parentheses. -9 * 2z = -18z -9 * 8y = -72y So, the expression now becomes 24y + 27z + 4z - 18z - 72y.Combine like terms: Combine like terms. Combine the y terms: 24y - 72y = -48y Combine the z terms: 27z + 4z - 18z = 13z So, the expression now becomes -48y + 13z.

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Rewrite in simplest terms:
-3(-8y-9z)+4z-9(2z+8y)
Answer:

Rewrite in simplest terms: $-3(-8 y-9 z)+4 z-9(2 z+8 y)$ $\newline$ Answer:

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Math Problems

Grade 6

Factor variable expressions using the distributive property

Full solution

Q. Rewrite in simplest terms:

-3(-8 y-9 z)+4 z-9(2 z+8 y)

\newline

Answer:

Distribute $-3$ : Distribute the $-3$ across the terms inside the first set of parentheses. $\newline$ $-3 \times -8y = 24y$ $\newline$ $-3 \times -9z = 27z$ $\newline$ So, the expression becomes $24y + 27z + 4z - 9(2z + 8y)$ .
Distribute $-9$ : Distribute the $-9$ across the terms inside the second set of parentheses. $\newline$ $-9 \times 2z = -18z$ $\newline$ $-9 \times 8y = -72y$ $\newline$ So, the expression now becomes $24y + 27z + 4z - 18z - 72y$ .
Combine like terms: Combine like terms. $\newline$ Combine the y terms: $24y - 72y = -48y$ $\newline$ Combine the z terms: $27z + 4z - 18z = 13z$ $\newline$ So, the expression now becomes $-48y + 13z$ .