1. The problem asks to expand and simplify the expression $7(5k - 6)$ and write it in the form $ak - b$ where $a$ and $b$ are numbers.
2. Use the distributive property formula: $$a(b + c) = ab + ac$$ which means multiply each term inside the parentheses by the factor outside.
3. Apply this to $7(5k - 6)$:
$$7 \times 5k - 7 \times 6 = 35k - 42$$
4. So, the missing terms are $35$ and $42$.
5. Final answer:
$$7(5k - 6) = 35k - 42$$
This means multiplying 7 by each term inside the parentheses separately and then combining the results.
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