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Step-by-Step Solution
Step1: Get terms containing variables on the left side of the inequality.

{:[8n+13 <= 7n+5],[8n+13-7n <= 7n+5-7n],[n+13 <= ◻]:}

Media 22\newlineQuestion 55\newlineQuestion 66\newlineQuestion 77\newlineQuestion 88\newlineMedia 33\newlineQuestion 99\newlineStep-by-Step Solution\newlineStep11: Get terms containing variables on the left side of the inequality.\newline8n+137n+58n+137n7n+57nn+13 \begin{aligned} 8 n+13 & \leq 7 n+5 \\ 8 n+13-7 n & \leq 7 n+5-7 n \\ n+13 & \leq \square \end{aligned}

Full solution

Q. Media 22\newlineQuestion 55\newlineQuestion 66\newlineQuestion 77\newlineQuestion 88\newlineMedia 33\newlineQuestion 99\newlineStep-by-Step Solution\newlineStep11: Get terms containing variables on the left side of the inequality.\newline8n+137n+58n+137n7n+57nn+13 \begin{aligned} 8 n+13 & \leq 7 n+5 \\ 8 n+13-7 n & \leq 7 n+5-7 n \\ n+13 & \leq \square \end{aligned}
  1. Get Variable Terms: Get terms containing variables on the left side of the inequality.\newlineWe start with the inequality 8n+137n+58n + 13 \leq 7n + 5. To isolate the variable terms on one side, we subtract 7n7n from both sides of the inequality.\newlineCalculation: 8n+137n7n+57n8n + 13 - 7n \leq 7n + 5 - 7n\newlineThis simplifies to: n+135n + 13 \leq 5
  2. Subtract 7n7n: Identify the missing number in the inequality.\newlineWe have simplified the inequality to n+135n + 13 \leq 5. The missing number is the constant on the right side of the inequality that we have already identified in the previous step.\newlineFinal Answer: The missing number is 55.