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Simplify to create an equivalent expression.

-4(-11+4n)-3(-2n+9)
Choose 1 answer:
(A) 
-10 n-35
(B) 
-18 n+17
(C) 
-10 n-17
(D) 
-10 n+17

Simplify to create an equivalent expression.\newline4(11+4n)3(2n+9) -4(-11+4 n)-3(-2 n+9) \newlineChoose 11 answer:\newline(A) 10n35 -10 n-35 \newline(B) 18n+17 -18 n+17 \newline(C) 10n17 -10 n-17 \newline(D) 10n+17 -10 n+17

Full solution

Q. Simplify to create an equivalent expression.\newline4(11+4n)3(2n+9) -4(-11+4 n)-3(-2 n+9) \newlineChoose 11 answer:\newline(A) 10n35 -10 n-35 \newline(B) 18n+17 -18 n+17 \newline(C) 10n17 -10 n-17 \newline(D) 10n+17 -10 n+17
  1. Distribute 4 -4 across terms: Distribute the 4 -4 across the terms inside the first parentheses.\newlineCalculation: 4×11+4×4n=4416n -4 \times -11 + -4 \times 4n = 44 - 16n
  2. Distribute 3 -3 across terms: Distribute the 3 -3 across the terms inside the second parentheses.\newlineCalculation: 3×2n+3×9=6n27 -3 \times -2n + -3 \times 9 = 6n - 27
  3. Combine results from Step 11 and Step 22: Combine the results from Step 11 and Step 22.\newlineCalculation: (4416n)+(6n27)(44 - 16n) + (6n - 27)
  4. Combine like terms: Combine like terms by adding the constants and the coefficients of nn.\newlineCalculation: 442716n+6n=1710n44 - 27 - 16n + 6n = 17 - 10n

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