Simplify to create an equivalent expression. -4(z+3)-4(5-4z) Choose 1 answer: (A) -24 z-32 (B) 12 z+8 (C) 12 z-32 (D) 12 z+32

Distribute Terms in First Parentheses: Distribute -4 to each term inside the first parentheses. -4 * z = -4z -4 * 3 = -12 So, the expression becomes -4z - 12.Distribute Terms in Second Parentheses: Distribute -4 to each term inside the second parentheses. -4 * 5 = -20 -4 * -4z = 16z So, the expression becomes -20 + 16z.Combine Distributed Terms: Combine the results from Step 1 and Step 2. The combined expression is -4z - 12 - 20 + 16z.Combine Like Terms: Combine like terms. Combine -4z and 16z to get 12z. Combine -12 and -20 to get -32. So, the simplified expression is 12z - 32.

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Simplify to create an equivalent expression.

-4(z+3)-4(5-4z)
Choose 1 answer:
(A)
-24 z-32
(B)
12 z+8
(C)
12 z-32
(D)
12 z+32

Simplify to create an equivalent expression. $\newline$ $-4(z+3)-4(5-4z)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-24z-32$ $\newline$ (B) $12z+8$ $\newline$ (C) $12z-32$ $\newline$ (D) $12z+32$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

-4(z+3)-4(5-4z)

\newline

Choose

1

answer:

\newline

(A)

-24z-32

\newline

(B)

12z+8

\newline

(C)

12z-32

\newline

(D)

12z+32

Distribute Terms in First Parentheses: Distribute $-4$ to each term inside the first parentheses. $\newline$ $-4 \times z = -4z$ $\newline$ $-4 \times 3 = -12$ $\newline$ So, the expression becomes $-4z - 12$ .
Distribute Terms in Second Parentheses: Distribute $-4$ to each term inside the second parentheses. $\newline$ $-4 \times 5 = -20$ $\newline$ $-4 \times -4z = 16z$ $\newline$ So, the expression becomes $-20 + 16z$ .
Combine Distributed Terms: Combine the results from Step $1$ and Step $2$ . $\newline$ The combined expression is $-4z - 12 - 20 + 16z$ .
Combine Like Terms: Combine like terms. $\newline$ Combine $-4z$ and $16z$ to get $12z$ . $\newline$ Combine $-12$ and $-20$ to get $-32$ . $\newline$ So, the simplified expression is $12z - 32$ .