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

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

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Factor variable expressions using the distributive propertyright chevron icon

Full solution

Q. Rewrite in simplest terms: −3(−8y−9z)+4z−9(2z+8y) -3(-8 y-9 z)+4 z-9(2 z+8 y) \newlineAnswer:
  1. Distribute −3-3: Distribute the −3-3 across the terms inside the first set of parentheses.\newline−3×−8y=24y-3 \times -8y = 24y\newline−3×−9z=27z-3 \times -9z = 27z\newlineSo, the expression becomes 24y+27z+4z−9(2z+8y)24y + 27z + 4z - 9(2z + 8y).
  2. Distribute −9-9: Distribute the −9-9 across the terms inside the second set of parentheses.\newline−9×2z=−18z-9 \times 2z = -18z\newline−9×8y=−72y-9 \times 8y = -72y\newlineSo, the expression now becomes 24y+27z+4z−18z−72y24y + 27z + 4z - 18z - 72y.
  3. Combine like terms: Combine like terms.\newlineCombine the y terms: 24y−72y=−48y24y - 72y = -48y\newlineCombine the z terms: 27z+4z−18z=13z27z + 4z - 18z = 13z\newlineSo, the expression now becomes −48y+13z-48y + 13z.

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