Perform the indicated operations. $4 z - \{ 9 z - [ 2 z - ( 8 z - 16 ) ] \}$
A) $- 11 z + 16$
B) $- 11 z - 16$
C) $11 z - 16$
D) $11 z + 16$

Question

Quizplus · Accepted Answer

First, simplify inside the innermost parentheses: $8z - 16$. Then, distribute the negative sign: $- (8z - 16) = -8z + 16$. Next, simplify inside the brackets: $2z - 8z + 16 = -6z + 16$. Distribute the negative sign again: $- (9z - [-6z + 16]) = -9z + 6z - 16 = -3z - 16$. Finally, simplify the entire expression: $4z - (-3z - 16) = 4z + 3z + 16 = 7z + 16$. The correct answer is $-11z + 16$.

Perform the Indicated Operations 4z−{9z−[2z−(8z−16)]}4 z - \{ 9 z - [ 2 z - ( 8 z - 16 ) ] \}4z−{9z−[2z−(8z−16)]}

Perform the Indicated Operations $4 z - \{ 9 z - [ 2 z - ( 8 z - 16 ) ] \}$