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Which expression is equivalent to the expression below?

2(8n+8p)-8n

2(8n+8p-8n)

24 n+8p

8n+16 p

18 n+10 p

Which expression is equivalent to the expression below?\newline2(8n+8p)8n 2(8 n+8 p)-8 n \newline2(8n+8p8n) 2(8 n+8 p-8 n) \newline24n+8p 24 n+8 p \newline8n+16p 8 n+16 p \newline18n+10p 18 n+10 p

Full solution

Q. Which expression is equivalent to the expression below?\newline2(8n+8p)8n 2(8 n+8 p)-8 n \newline2(8n+8p8n) 2(8 n+8 p-8 n) \newline24n+8p 24 n+8 p \newline8n+16p 8 n+16 p \newline18n+10p 18 n+10 p
  1. Distribute 22: First, we need to distribute the 22 into the parentheses in the expression 2(8n+8p)8n2(8n+8p)-8n. This means we will multiply 22 by each term inside the parentheses.\newlineCalculation: 2×8n+2×8p8n2 \times 8n + 2 \times 8p - 8n
  2. Combine like terms: Now, we simplify the expression by combining like terms. We have 2×8n2 \times 8n which is 16n16n and 2×8p2 \times 8p which is 16p16p. Then we subtract 8n8n from 16n16n.\newlineCalculation: 16n+16p8n16n + 16p - 8n
  3. Final simplification: Subtracting 8n8n from 16n16n gives us 8n8n. So the expression simplifies to 8n+16p8n + 16p.\newlineCalculation: 8n+16p8n + 16p

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