This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
68
Step 1: Solve . Let the missing number be . Combine the constant terms: Subtract 30 from both sides: The missing number is .
Step 2: Solve . Let the missing number be . First, calculate the sum in the parentheses: Add 8 to both sides: The missing number is .
Step 3: Solve . Let the missing number be . Subtract 16 from both sides: Multiply both sides by -1: Multiply both sides by 3: The missing number is .
Step 4: Complete numeric pattern b). The pattern is This is an arithmetic sequence where each term is 2 less than the previous term. The common difference is . The next three terms are: The completed pattern is .
Step 5: Complete numeric pattern e). The pattern is This is a geometric sequence where each term is 3 times the previous term. The common ratio is . The next three terms are: The completed pattern is .
Step 6: Complete the unlabeled numeric pattern starting with . The pattern is This is an arithmetic sequence where each term is 3 more than the previous term. The common difference is . The next three terms are: The completed pattern is .
Step 7: Complete the unlabeled numeric pattern starting with . The pattern is This is an arithmetic sequence where each term is 2 less than the previous term. The common difference is . The next three terms are: The completed pattern is .
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Solve problem 4. Let the missing number be x.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.